Skip to main content
Log in

The Cartan-Laptev method in the study ofG-structures on manifolds

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. M. A. Akivis, “Paris ofT complexes,”Dokl. Akad. Nauk SSSR,61, 181–184 (1948);Mat. Sb.,27, 351–378 (1950).

    MATH  MathSciNet  Google Scholar 

  2. M. A. Akivis, “On a class of tangentially degenerate surfaces,”Dokl. Akad. Nauk SSSR,146, No. 3, 515–518 (1962).

    MATH  MathSciNet  Google Scholar 

  3. M. A. Akivis, “Differential geometry of webs,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 15, All-Union Institute for Scientific and Technical Intormation, Moscow (1983), pp. 187–213.

    Google Scholar 

  4. M. A. Akivis and S. A. Gerasimenko, “Multidimensional Bol webs,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 18, All-Union Institute for Scientific and Technical Information, Moscow (1983), pp. 73–104.

    Google Scholar 

  5. M. A. Akivis and V. A. Tikhonov, “A survey of the research of Vyacheslav Timofeevich Bazylev,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 21, All-Union Institute for Scientific and Technical Information, Moscow (1983), pp. 3–26.

    Google Scholar 

  6. B. Akmatov,On the invariant construction of the geometry of distributions of m-dimensional linear elements in a differentiable manifold M n , Rept. No. 2874-83. Dep. at All-Union Institute for Scientific and Technical Information, May 28, 1–34 (1983).

  7. B. Akmatov,Induced structures on distributions of m-dimensional linear elements in an almost complex manifold, Rept. No. 5505-83, Dep. at All-Union Institute for Scientific and Technical Information, Oct. 6, 1–21 (1983).

  8. B. Akmatov, “On connections in structure distributions of an induced (fξηρ)-structure in almost complex manifoldsM n (J),”Diff. Geom. Mnogoobr. Figur, No. 19, 5–8 (1988).

    MathSciNet  Google Scholar 

  9. B. Akmatov, “Horizontally framed distributions of linear elements of codimension 2 in the almost complex manifoldM n ,” In:Diff. Geom. Structures on Manifolds and Their Applications. Proc. All-Union Geometric School, Chernovzy, 1991 [in Russian], Rept. No. 562-B91. Dep. at All-Union Institute for Scientific and Technical Information, Feb. 5 (1991), pp. 61–64.

  10. B. Akmatov,Theory of Distributrions of Multidimensional Linear Elements in Manifolds, Equipped with a Differential-Geometric Structure, Candidate's thesis (1993).

  11. E. D. Alshibaya “Differential geometry of a hypersurface in a multidimensional affine space,” In:Tr. Tbilissk. Univ., No. 129, Tbilisi (1968), pp. 319–341.

  12. E. D. Alshibaya, “On the geometry of a distribution of hyperplane elements in an affine space,” In:Tr. Geom. Sem., Vol. 5, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 169–193.

    Google Scholar 

  13. S. Kh. Arutyunyan, “The geometry of multiple integrals dependent on parameters,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 22, All-Union Institute for Scientific and Technical Information, Moscow (1990), pp. 37–58.

    Google Scholar 

  14. M. V. Ausem (Vasil'eva), “The geometry of double integrals in three-space,”Dokl. Akad. Nauk SSSR,85, 253–255 (1952).

    Google Scholar 

  15. V. T. Bazylev, “On multidimensional nets and their transformations,” In:Itogi Nauki i Tekhniki. Geometriya. 1963, All-Union Institute for Scientific and Technical Information, Moscow (1965), pp. 138–164.

    Google Scholar 

  16. V. T. Bazylev, “On∇-conjugate nets in an affinely connected space,”Izv. Vuzov. Mat., No. 5, 25–30 (1974).

    MATH  MathSciNet  Google Scholar 

  17. V. T. Bazylev, “Nets on manifolds,” In:Tr. Geom. Sem., Vol. 6, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 189–204.

    Google Scholar 

  18. T. N. Balazyuk, “The differential geometry ofm-dimensional linear elements, equipped with a cone,” I, Rept. No. 267-68, Dep. at All-Union Institute for Scientific and Technical Infornation, Jan. 24, 1978, Moscow; II, Rept No. 268-78, Dep. at All-Union Institute for Scientific and Technical Information, Jan. 24, 1978, Moscow; III, Repts. No. 465-78 Dep. at All-Union Institute for Scientific and Technical Information, Feb. 9, 1978, Moscow.

  19. T. N. Balazyuk, “A projective connection in a fiber manifold, endowea with a projective-differential structure,” In:Diff. Geom. Structures on Manifolds and Their Applications, Proc. of All-Union Geometric School, Chernovtsy, 1991, Rept. No. 562-B91, Dep. at All-Union Institute for Scientific and Technical Information, Feb. 5, 1991, pp. 65–73.

  20. T. N. Balazyuk and N. M. Ostianu, “Submanifolds in differentiable manifolds, endowed with differential-geometric structures. IV Submanifolds of codimension 1 in manifolds of almost complex structure,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 15, All-Union Institute for Scientific and Technical Information, Moscow (1983), pp. 127–164.

    Google Scholar 

  21. S. V. Bakhvalov, “On fiber pairs of congruences related to Bianchi congruences,”Dokl. Akad. Nauk SSSR,23, 743–745 (1938).

    Google Scholar 

  22. V. I. Bliznikas, “Some problems of the geometry of spaces of support elements,” In:Proc. Second Geometric Conf., Tartu (1965), pp. 13–14.

  23. V. I. Bliznikas, “Nonholonomic Lie differentiation and nonlinear connections in a space of support elements,”Lit. Mat. Sb.,6, No. 2, 141–208 (1966).

    MATH  MathSciNet  Google Scholar 

  24. V. I. Bliznikas, “On the geometry of systems of differential equations,”Lit. Mat. Sb.,6, No. 2, 382–384 (1966).

    Google Scholar 

  25. V. I. Bliznikas, “On the geometry of normal higher-order systems of ordinary differential equations,”Lit. Mat. Sb.,7, No. 2, 231–248 (1967).

    MATH  MathSciNet  Google Scholar 

  26. V. I. Bliznikas, “Finsler spaces and their generalizations,” In:Itogi Nauki i Tekhniki. Algebra. Topol. Geom. 1967, All-Union Institute for Scientific and Technical Information, Moscow (1969), pp. 73–125.

    Google Scholar 

  27. V. I. Bliznikas, “On the geometry of first order systems of partial differential equations,” In:Tr. Geom. Sem., Vol. 2, All-Union Institute for Scientific and Technical Information, Moscow (1969), pp. 33–53.

    Google Scholar 

  28. V. I. Bliznikas, “On a nonholonomic surface in the 3-dimensional projectively connected space,” In:Tr. Geom. Sem., Vol. 3, All-Union Institute for Scientific and Technical Information, Moscow (1971). pp. 115–124.

    Google Scholar 

  29. V. I. Bliznikas, “Differential geometry of a nonholonomic hypersurface of a Riemannian space,”Lit. Mat. Sb.,11, No. 1, 63–75 (1974).

    MathSciNet  Google Scholar 

  30. V. I. Bliznikas, “Some problems of the geometry of hypercomplexes of straight lines,” In:Tr. Geom. Sem., Vol. 6, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 43–111.

    Google Scholar 

  31. V. I. Bliznikas, P. I. Vashkas, Z. Yu. Lupeikis, and Yu. I. Shinkunas, “A survey of scientific papers of K.I. Grintsevichus,” In:Tr. Geom. Sem., Vol. 5, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 7–53.

    Google Scholar 

  32. V. I. Bliznikas and K. I. Grintsevichus, “On the nonholonomic ruled geometry,” In:Proc. Third Baltic Geom. Conf., 12 June 1968, Palanga (1968), pp. 21–25.

  33. V. I. Bliznikas and Z. Yu. Lupeikis, “On intrinsic framings of a ruled complex,” In:Tr. Geom. Sem., Vol. 4, All-Union Institute for Scientific and Technical Information, Moscow (1973), pp. 155–164.

    Google Scholar 

  34. V. I. Bliznikas and Z. Yu. Lupeikis, “On the geometry of certain systems of partial differential equations,” In:Tr. Geom. Sem., Vol. 5, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 135–168.

    Google Scholar 

  35. A. M. Vasil'ev, “Involutive systems of complexes of straight lines,”Dokl. Akad. Nauk SSSR,61, 189–191 (1948).

    MATH  Google Scholar 

  36. A. M. Vasil'ev, “General invariant methods in differential geometry,”Dokl. Akad. Nauk SSSR (New series),79, No. 1, 5–7 (1951).

    MATH  Google Scholar 

  37. A. M. Vasil'ev, “On algebraic operations applied in differential geometry,”Dokl. Akad. Nauk SSSR,82, No. 4, 509–511 (1952).

    MATH  Google Scholar 

  38. A. M. Vasil'ev, “Differential algebra. Covariant analytical methods in differential geometry,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 10, All-Union Institute for Scientific and Technical Information, Moscow (1978), pp. 5–24.

    Google Scholar 

  39. A. M. Vasil'ev, “The Theory of Differential-Geometric Structures [in Russian], Moscow State Univ. Press, Moscow (1987).

    Google Scholar 

  40. A. M. Vasil'ev, “Differential geometry,” In:Mat. Moscow State Univ., Moscow State Univ. Press, Moscow (1992), pp. 174–196.

    Google Scholar 

  41. M. V. Vasil'eva, “Geometry of integrals,”Mat. Sb.,36 (78), No. 1, 57–92 (1955).

    MATH  MathSciNet  Google Scholar 

  42. M. V. Vasil'eva, “The geometric characteristic of some invariants in Finsler geometry,” In:Proc. Third All-Union Math. Congr., Vol. 2, Moscow (1956), pp. 139.

  43. M. V. Vasil'eva, “Invariant description of the Cartan geometry of the integral,”Uchen. Zap. MGPI,208, 76–85 (1963).

    Google Scholar 

  44. H. Weyl,Classical Groups, Their Invariants and Representations [Russian translation], GIIT, Moscow (1947).

    Google Scholar 

  45. R. M. Geidelman, “Differential geometry of families of subspaces in multidimensional homogeneous spaces,” In:Itogi Nauki i Tekhniki. Algebra. Topol. Geom. 1965, All-Union Institute for Scientific and Technical Information, Moscow, pp. 323–374.

    Google Scholar 

  46. S. Grigelionis, “Some problems of the geometry of nonholonomic complexes (1, 4, 5),” In:Tr. Geom. Sem., Vol. 5, All-Union Institute for Scientific and Technical Information, Moscow, pp. 55–68 (1967).

    Google Scholar 

  47. K. I. Grintsevichus, “A hypercomplex of straight lines in multidimensional projective space,” In:Proc. Third All-Union Math. Congr., Vol. 1, Moscow (1956), pp. 148–149.

  48. K. I. Grintsevichus, “A linear complex attached to a second-order differential neighborhood of a ray of a complex,”Usp. Mat. Nauk,13, No. 2, 175–180 (1958).

    Google Scholar 

  49. K. I. Grintsevichus, “A second-order differential neighborhood of a ray of a complex in multidimensional projective space,”Mat. Sb.,52, No. 4, 991–1020 (1960).

    MathSciNet  Google Scholar 

  50. K. I. Grintsevichus, “On a nonoholonomic complex,”Lit. Mat. Sb.,9, No. 1, 85–99 (1969).

    Google Scholar 

  51. K. I. Grintsevichus, “On a nonoholonomic complex,” In:Tr. Geom. Sem., Vol. 3, All-Union Institute for Scientific and Technical Information, Moscow (1971), pp. 149–172.

    Google Scholar 

  52. R. F. Dombrovsky, “On the geometry of tangentially framed surfaces inP n,” In:Tr. Geom. Sem., Vol. 6, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 171–188.

    Google Scholar 

  53. R. F. Dombrovsky, “Invariant almost product structures on a tangentiallyr-framed surfaceM m,r ,”, Rept. No. 587-76, Dep. at All-Union Institute for Scientific and Technical Information, Feb. 24, 1976, Moscow, 1–24.

    Google Scholar 

  54. R. F. Dombrovsky, “Tangentially framed (m−1)-dimensional second-order surfaces onM m,r ,”, Rept. No. 586-76, Dep. at All-Union Institute for Scientific and Technical Information, Feb. 24, 1976, Moscow, 1–18.

    Google Scholar 

  55. R. F. Dombrovsky, “Fields of geometric objects on multidimensional tangentially framed surfaces inP n ,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 7, All-Union Institute for Scientific and Technical Information, Moscow (1975), pp. 153–171.

    Google Scholar 

  56. R. F. Dombrovsky,Differential Geometry of a Multidimensional Tangentially Framed Surface in P n [in Russian], Candidate's thesis (1977).

  57. R. F. Dombrovsky, “On the geometry of manifolds of almost contact structure,” In:Diff. Geom. Structures on Manifolds and Their Applications. Proc. of All-Union Geometric School, Chernovtsy, 1991, Rept. No. 562-B91, Dep. at All-Union Institute for Scientific and Technical Information, Feb. 5, 1991, pp. 96–106.

  58. R. F. Dombrovsky, “On the types of points of a submanifold of an almost contact structure,”Diff. Geom. Mnogoobr. Figur, No. 22, 41–48 (1991).

    Google Scholar 

  59. R. F. Dombrovsky, “On the geometry of tensor fields on manifolds of almost quaternion structure,” In:Itogi Nauki i Tekhniki. Sovr. Mat. Prilozh. Tematicheskie Obzory. Geometria-3, All-Russian Institute for Scientific and Technical Information, Moscow (1991).

    Google Scholar 

  60. L. E. Evtushik, “Cartan connections and the geometry of Kavaguti spaces, obtained by means of the moving frame method,” In:Itogi Nauki i Tekhniki. Sovr. Mat. Prilozh. Tematicheskie Obzory. Geometria-3, All-Russian Institute for Scientific and Technical Information, Moscow (1991).

    Google Scholar 

  61. L. E. Evtushik, Yu. G. Lumiste, N. M. Ostianu, and A. P. Shirokov, “Differential-geometric structures on manifolds,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 9, All-Union Institute for Scientific and Technical Information, Moscow (1979), pp. 1–247.

    Google Scholar 

  62. L. E. Evtushik and V. B. Tretyakov, “On structures defined by a system of ordinary differential higher-orders equations,” In:Tr. Geom. Sem., Vol. 6, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 243–255.

    Google Scholar 

  63. E. Cartan,The Method of a Moving Frame. The Theory of Continuous Groups and Generalized Spaces [Translation of S. P. Finikov the article 2 in [181]].

  64. E. Cartan,Riemannian Geometry in the Orthogonal Frame [Based on of Elie Cartan's lectures held in Sorbonne in 1926–1927, Translated and edited of S. P. Finikov], Moscow State Univ. Press, Moscow (1960).

    Google Scholar 

  65. E. Cartan,Exterior Differential Systems and their Geometric Applications [Translated by S.P. Finikov], Moscow State Univ. Press, Moscow (1962).

    Google Scholar 

  66. E. Cartan,Theory of Finite Continuous Groups and Differential Geometry via the Method of the Moving Frame [Translated and edited by S. P. Finikov], Moscow State Univ. Press, Moscow (1963).

    Google Scholar 

  67. G. F. Laptev,On Intrinsic Geometries of Manifolds Embedded in a Multidimensional Affine Space, Doctoral thesis (1941).

  68. G. F. Laptev, “On selection of a class of intrinsic geometries induced on the surface of an affinely connected space,”Dokl. Akad. Nauk SSSR,41, No. 8, 329–331 (1943).

    MathSciNet  Google Scholar 

  69. G. F. Laptev, “On immersion of affinely connected spaces in an affine space,”Dokl. Akad. Nauk SSSR,47, No. 8, 551–554 (1945).

    MathSciNet  Google Scholar 

  70. G. F. Laptev, “Affine bending of manifolds that preserves intrinsic geometries,”Dokl. Akad. Nauk SSSR,58, No. 4, 529–531 (1947).

    MATH  MathSciNet  Google Scholar 

  71. G. F. Laptev, “Invariant construction of the projective-differential geometry of a surface,”Dokl. Akad. Nauk SSSR,65, No. 2, 121–124 (1949).

    MATH  MathSciNet  Google Scholar 

  72. G. F. Laptev, “On manifolds of geometric elements with a differential connection,”Dokl. Akad. Nauk SSSR,78, No. 1, 17–20 (1950).

    MathSciNet  Google Scholar 

  73. G. F. Laptev, “The differential geometry of immersed manifolds. A group-theoretic method of differential-geometric studies,” In:Tr. Mosk. Mat. Obshch., No. 2 (1953), pp. 275–382.

  74. G. F. Laptev, “A group-theoretic method of differential-geometric studies,” In:Proc. Third All-Union Math. Congr., Vol. 2, Moscow (1956), pp. 60–62.

  75. G. F. Laptev, “A group-theoretic method of differential-geometric studies,” In:Proc. Third All-Union Math. Congr., Vol. 3, Moscow (1958), pp. 409–418.

  76. G. F. Laptev, “On the invariant framing of a surface in an affinely connected space,”Dokl. Akad. Nauk SSSR,126, No. 3, 490–494 (1959).

    MATH  MathSciNet  Google Scholar 

  77. G. F. Laptev, “Manifolds immersed in generalized spaces,” In:Proc. Fourth All-Union Math. Congr., Vol. 2, Nauka, Leningrad (1961), pp. 226–233.

    Google Scholar 

  78. G. F. Laptev, “Fundamental infinitesimal structures of higher orders on a smooth manifold,” In:Tr. Geom. Sem., Vol. 1, All-Union Institute for Scientific and Technical Information, Moscow (1966), pp. 139–189.

    Google Scholar 

  79. G. F. Laptev, “On the invariant analytic theory of differentiable mappings,” In:Proc. All-Union Univ. Geom. Conf., Tbil. Univ. Press, Tbilisi (1969), pp. 133–134.

    Google Scholar 

  80. G. F. Laptev, “The structural equations of the principal fiber manifold,” In:Tr. Geom. Sem., Vol. 2, All-Union Institute for Scientific and Technical Information, Moscow (1969), pp. 161–178.

    Google Scholar 

  81. G. F. Laptev, “The invariant analytic theory of differentiable mappings,” In:Congres Internat. Math., Nice (1970), pp. 84–85.

  82. G. F. Laptev, “On the invariant analytic theory of differentiable manifolds,” In:Tr. Geom. Sem., Vol. 6, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 37–42.

    Google Scholar 

  83. G. F. Laptev, “Distributions of tangent elements,” In:Tr. Geom. Sem., Vol. 3, All-Union Institute for Scientific and Technical Information, Moscow (1971), pp. 29–48.

    Google Scholar 

  84. G. F. Laptev and N. M. Ostianu, “Distribution ofm-dimensional linear elements in a projectively connected space. I,” In:Tr. Geom. Sem., Vol. 3, All-Union Institute for Scientific and Technical Information, Moscow (1971), pp. 49–94.

    Google Scholar 

  85. G. F. Laptev and N. M. Ostianu, “The (Fζηρ)-structure on differentiable manifolds,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 7, All-Union Institute for Scientific and Technical Information, Moscow (1975), pp. 5–22.

    Google Scholar 

  86. A. Lichnerowich,Theory of Connections in the Large and Groups of Holonomies [Russian translation], Inostr. Lit., Moscow (1960).

    Google Scholar 

  87. Yu. G. Lumiste, “On the foundations of the global theory of connections,”Uchen. Zap. Tartus. Univ., No. 150, 69–108 (1964).

    MATH  MathSciNet  Google Scholar 

  88. Yu. G. Lumiste, “Induced connections in immersed projective and affine fiber bundles,”Uchen. Zap. Tartus. Univ., No. 177, 434–469 (1965–1966).

    Google Scholar 

  89. Yu. G. Lumiste, “Homogeneous fiber bundles with a connection and their immersions,” In:Tr. Geom. Sem., Vol. 1, All-Union Institute for Scientific and Technical Information, Moscow (1966), pp. 191–237.

    Google Scholar 

  90. Yu. G. Lumiste, “Connections in homogeneous fiber bundles,”Mat. Sb.,69, No. 3, 434–469 (1966).

    MATH  MathSciNet  Google Scholar 

  91. Yu. G. Lumiste, “Theory of connections in fiber spaces,” In:Itogi Nauki i Tekhniki. Algebra. Topol. Geom. 1969, All-Union Institute for Scientific and Technical Information, Moscow (1971), pp. 123–169.

    Google Scholar 

  92. Yu. G. Lumiste, “Canonic fiber bundles over spaces of orbits and intrinsic connections,” In:Tr. Geom. Sem., Vol. 4, All-Union Institute for Scientific and Technical Information, Moscow (1973), pp. 286–307.

    Google Scholar 

  93. Yu. G. Lumiste, “Distributions on homogeneous spaces,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 8, All-Union Institute for Scientific and Technical Information, Moscow (1977), pp. 5–24.

    Google Scholar 

  94. Yu. G. Lumiste,Connections in Fiber Spaces with Homogeneous Fibers, Tartu State Univ. Press, Tartu, 1–63 (1977).

    Google Scholar 

  95. Yu. G. Lumiste, “Semisymmetric manifolds,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 23, All-Union Institute for Scientific and Technical Information, Moscow (1990), pp. 3–28.

    Google Scholar 

  96. Yu. G. Lumiste and A. V. Chakmazyan, “Normal connection and submanifolds with parallel normal fields in a space of constant curvature,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 12, All-Union Institute for Scientific and Technical Information, Moscow (1981), pp. 3–30.

    Google Scholar 

  97. V. S. Malakhovsky, “Fields of geometric objects on manifolds of quadratic elements”,Geom. Sb. Tr. Tomsk. Univ.,176, No. 4, 11–19 (1964).

    Google Scholar 

  98. V. S. Malakhovsky, “A variety ofp-dimensional quadrics in ann-dimensional projective space,” In:Proc. First Conf. Math. Byelorussia. 1964, Vysshaya Shkola, Minsk (1965), pp. 233–246.

    Google Scholar 

  99. V. S. Malakhovsky, “The differential geometry of a variety of figures and of pairs of figures in homogeneous space,” In:Tr. Geom. Sem., Vol. 2, All-Union Institute for Scientific and Technical Information, Moscow (1969), pp. 179–206.

    Google Scholar 

  100. V. S. Malakhovsky, “Inducely framed varieties of figures in homogeneous space,” In:Tr. Geom. Sem., Vol. 5, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 319–334.

    Google Scholar 

  101. V. S. Malakhovsky,Introduction to the Theory of Exterior Forms [in Russian], Part 1, Kaliningr. State Univ. Press, Kaliningrad (1978); Part 2, Kaliningr. State Univ. Press, Kaliningrad (1980).

    Google Scholar 

  102. V. S. Malakhovsky, “The differential geometry of varieties of figures,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 12, All-Union Institute for Scientific and Technical Information, Moscow (1981), pp. 31–60.

    Google Scholar 

  103. V. S. Malakhovsky, “The differential geometry of varieties of quadrics,” In:Itogi Nauki i Tekhniki. Sovr. Mat. Prilozh. Tematicheskie Obzory. Geometria-3, All-Union Institute for Scientific and Technical Information, Moscow.

  104. V. S. Malakhovsky and N. M. Ostianu, “Fields of geometric objects in homogeneous and generalized spaces,”, Rept. No. 3640-79, Dep. at All-Union Institute for Scientific and Technical Information, Oct. 25, 1979, Moscow, 1–35.

    Google Scholar 

  105. N. V. Malakhovsky, “On families of collineations of multidimesional projective spaces,”Diff. Geom. Mnogoobr. Figur, No. 20, 50–57 (1989).

    Google Scholar 

  106. A. P. Norden,Affinely Connected Spaces [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

    Google Scholar 

  107. E. V. Opolskaya, “On one class of submanifolds in a manifold of almost contact structure,” In:Webs and Quasigroups [in Russian], Kalinin (1988), pp. 97–102.

  108. E. V. Opolskaya, “Second-order images associated with the submanifoldM m in a manifoldM n+1(ψζη),” In:Diff. Geom. Structures on Manifolds and Their Applications. Proc. of All-Union Geom. School.

  109. N. M. Ostianu, “On the canonization of the moving frame of an immersed manifold,”Rev. Math. Pures Appl.,7, No. 2, 231–240 (1962).

    MATH  MathSciNet  Google Scholar 

  110. N. M. Ostianu, “On the geometry of a surface in affinely symplectic space,”Uchen. Zap. MGPI,208, 156–176 (1963).

    Google Scholar 

  111. N. M. Ostianu, “On the invariant framing of a multidimensional surface in a projective space,” Dep. at All-Union Institute for Scientific and Technical Information, 1966.

  112. N. M. Ostianu, “Distributions ofm-dimensional linear elements in a projectively connected space. II,” In:Tr. Geom. Sem., Vol. 3, All-Union Institute for Scientific and Technical Information, Moscow (1971), pp. 95–114.

    Google Scholar 

  113. N. M. Ostianu, “Distributions of hyperplane elements in a projective space,” In:Tr. Geom. Sem., Vol. 4, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 71–120.

    Google Scholar 

  114. N. M. Ostianu, “Differential-geometric structures on fiber spaces,” Repts. No. 5813-73, Dep. at All-Union Institute for Scientific and Technical Information, Apr. 23, 1973.

  115. N. M. Ostianu, “Step-fiber spaces,” In:Tr. Geom. Sem., Vol. 5, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 259–309.

    Google Scholar 

  116. N. M. Ostianu, “Manifolds immersed in fiber spaces ofH-structure,” In:Tr. Geom. Sem., Vol. 6, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 257–266.

    Google Scholar 

  117. N. M. Ostianu, “On the geometry of an even-dimensional surface in an affinely symplectic space,” Rept. No. 34-64, Dep. at All-Union Institute for Scientific and Technical Information, 1964.

  118. N. M. Ostianu, “On the geometry of the multidimensional surface of a projective space,” In:Tr. Geom. Sem., Vol. 1, All-Union Institute for Scientific and Technical Information, Moscow (1966), pp. 239–263.

    Google Scholar 

  119. N. M. Ostianu, “On the invariant framing of a family of multidimensional planes in a projective space,” In:Tr. Geom. Sem., Vol. 1, All-Union Institute for Scientific and Technical Information, Moscow (1969), pp. 247–262.

    Google Scholar 

  120. N. M. Ostianu, “Differential-geometric structures on differentiable manifolds,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 8, All-Union Institute for Scientific and Technical Information, Moscow (1977), pp. 89–111.

    Google Scholar 

  121. M. N. Ostianu, “Correlation between inducing and induced differential-geometric structures on manifolds,”Izv. Vuzov. Mat., No. 1, 48–55 (1986).

    MATH  MathSciNet  Google Scholar 

  122. N. M. Ostianu, “Submanifolds in differentiable manifolds endowed with differential-geometric structures V.CR-submanifolds in a manifold of almost complex structure,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 19, All-Union Institute for Scientific and Technical Information, Moscow (1987), pp. 59–100.

    Google Scholar 

  123. N. M. Ostianu, “The method of fields of geometric objects in the studies ofG-structures on manifolds,” In:Diff. Geom. Structures on Manifolds and Their Applications. Proc. of All-Union Geom. School. Chernovtsy, 1991, Rept. No. 562-B91, Dep. at All-Union Institute for Scientific and Technical Information, Feb. 5, 1991, pp. 117–128.

  124. N. M. Ostianu, “Submanifolds in differentiable manifolds endowed with differential-geometric structures VII.CR-submanifolds in a manifold of almost-complex structure,” In:Itogi Nauki i Tekhniki. Sovr. Mat. Prilozh. Tematicheskie Obzory. Geometria-2, All-Russian Institute for Scientific and Technical Information, Moscow (1994), pp. 79–118.

    Google Scholar 

  125. N. M. Ostianu, “Manifolds, immersed in spaces of projective structure,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 10, All-Union Institute for Scientific and Technical Information, Moscow (1978). pp. 75–115.

    Google Scholar 

  126. N. M. Ostianu and T. N. Balazyuk, “A mapping of the manifold on the associated manifold of projective-differential structure,” In:Webs and Quasigroups [in Russian], Kalinin (1988), pp. 102–108.

  127. N. M. Ostianu, R. F. Dombrovsky, and N. D. Polyakov, “Submanifolds in differentiable manifolds endowed with differential-geometric structure. II. Submanifolds of codimension 2 in contact and almost contact manifolds,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 13, All-Union Institute for Scientific and Technical Information, Moscow (1982), pp. 27–76.

    Google Scholar 

  128. N. M. Ostianu and N. D. Polyakov, “Submanifolds in differentiable manifolds endowed with differential-geometric structure. I,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 11, All-Union Institute for Scientific and Technical Information, Moscow (1980), pp. 3–64.

    Google Scholar 

  129. N. M. Ostianu, V. V. Ryzhkov, and P. I. Shveikin, “Outline of the scientific studies of German Fedorovich Laptev,” In:Tr. Geom. Sem., Vol. 4, All-Union Institute for Scientific and Technical Information, Moscow (1973), pp. 7–68.

    Google Scholar 

  130. G. S. Polshcha, “Geometric constructions, associated with the distribution of points in projective four-space,” Rept. No. 1509-74, Dep. at All-Union Institute for Scientific and Technical Information, Jul. 6, 1974, Moscow.

    Google Scholar 

  131. G. S. Polshcha, “On the differential geometry of distributions of points in a multidimensional projective space,” In:Proc. of All-Union Scient. Conf. on Non-Euclidean Geometry, 150 Years of the Lobachevsky Geometry, Kazan (1976), p. 167.

  132. N. D. Polvakov, “Differential-geometric structures on an almost contact manifold,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 7, All-Union Institute for Scientific and Technical Information, Moscow (1977), pp. 113–137.

    Google Scholar 

  133. N. D. Polyakov, “Submanifolds in differentiable manifolds endowed with differential-geometric structures. III.N σ-antiinvariant submanifolds in manifolds of almost contact structure,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 13, All-Union Institute for Scientific and Technical Information, Moscow (1982), pp. 27–117.

    Google Scholar 

  134. N. D. Polyakov, “Classification of (fξηρ)-structures,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 14, All-Union Institute for Scientific and Technical Information, Moscow (1983), pp. 57–72.

    Google Scholar 

  135. N. D. Polyakov, “Differential geometry of manifolds off-structure,” In:Itogi Nauki i Tekhniki. Probl. Geom. Vol. 14, All-Union Institute for Scientific and Technical Information, Moscow (1983), pp. 95–125.

    Google Scholar 

  136. N. D. Polyakov, “Submanifolds in differentiable manifolds endowed with differential-geometric structures. VI. CR-submanifolds in a manifold of an almost contact structure,” In:Itogi Nauki i Tekhniki. Probl. Grom., Vol. 19, All-Union Institute for Scientific and Technical Information, Moscow (1987). pp. 23–58.

    Google Scholar 

  137. N. D. Folyakov, “On one geometric interpretation of lifts of a vector,” In:Webs and Quasigroups [in Russian], Kalinin (1988), pp. 109–111.

  138. N. D. Polyakov, “Bundles of manifolds off-structure,”Diff. Geom. Mnogoobr. Figur, No. 20, 69–73 (1989).

    MATH  MathSciNet  Google Scholar 

  139. N. D. Polyakov, “G-structures on fiber spaces over an almost complex manifolds,” In:Webs and Quasigroups [in Russian], Kalinin (1990), pp. 98–104.

  140. N. D. Polyakov, “G-structures on a tangent bundle of an almost contact manifolds,” In:Diff. Geom. Structures on Manifolds and Their Applications. Proc. of All-Union Geom. School. Chernovtsy, 1991, Rept. No. 562-B91, Dept. at All-Union Institute for Scientific and Technical Information, Feb. 5, 1991, pp. 129–139.

  141. N. M. Pokhila, “A submanifoldM m inM n (JΓ) with an involutive holomorphic distribution,” In:Diff. Geom. Structures on Manifolds and Their Applications. Proc. of All-Union Geom. School. Chernovtsy, 1991, pp. 140–143.

  142. M. O. Rahula, “Infinitesimal connection in a fiber bundle,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 8, All-Union Institute for Scientific and Technical Information, Moscow (1977), pp. 163–182.

    Google Scholar 

  143. A. K. Rybnikov, “Affine connections, induced on multidimensional surfaces of affine space,” In:Tr. Geom. Sem., Vol. 6, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 135–153.

    Google Scholar 

  144. V. V. Ryzhkov, “Tangentially degenerate surfaces,”Dokl. Akad. Nauk SSSR,135, No. 1, 20–22 (1960).

    MATH  Google Scholar 

  145. A. V. Stolyarov, “The projective-differential geometry of a regular hyperband distribution ofm-dimensional linear elements,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 7, All-Union Institute for Scientific and Technical Information, Moscow (1975), pp. 117–151.

    Google Scholar 

  146. A. V. Stolyarov, “Dual linear connections on framed manifolds of a projectively connected space,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 8, All-Union Institute for Scientific and Technical Information, Moscow (1977), pp. 25–46.

    Google Scholar 

  147. A. V. Stolyarov, “The differential geometry of bands,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 10, All-Union Institute for Scientific and Technical Information, Moscow (1978), pp. 25–54.

    Google Scholar 

  148. A. V. Stolyarov,Dual Geometry of Regular Bands and its Applications [in Russian], Chuvash. Univ. Press, Cheboksary (1992).

    Google Scholar 

  149. S. P. Finikov,Projective-Differential Geometry [in Russian], ONTI, NKTP SSSR, Moscow-Leningrad (1937).

    Google Scholar 

  150. S. P. Finikov,The Cartan Method of Exlerior Forms [in Russian], Izd. Tekh. Teoret. Lit., Moscow (1948).

    Google Scholar 

  151. S. P. Finikov,The Theory of Congruences [in Russian], Izd. Tekh. Teoret. Lit., Moscow (1950).

    Google Scholar 

  152. S. P. Finikov,The Theory of Pairs of Congruences, Izd. Tekh. Teoret. Lit., Moscow-Leningrad (1956).

    Google Scholar 

  153. A. V. Chakmazyan, “Normal connection in the geometry of framed manifolds of affine space,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 21, All-Union Institute for Scientific and Technical Information, Moscow (1989) pp. 93–107.

    Google Scholar 

  154. P. I. Shveikin, “On the affine-invariant framing of a surface,” In:Proc. Third Math. Congr., Vol. 1, Moscow (1956), p. 175.

  155. P. I. Shveikin, “Invariant constructions on anm-dimensional surface in ann-dimensional affine space,”Dokl. Akad. Nauk SSSR,121, No. 5, 811–814 (1958).

    MATH  MathSciNet  Google Scholar 

  156. P. I. Shveikin, “Normal geometric objects of a surface in an affine space,” In:Tr. Geom. Sem., Vol. 1, All-Union Institute for Scientific and Technical Information, Moscow (1966), pp. 331–423.

    Google Scholar 

  157. P. I. Shveikin, “On the affine geometry of a multidimensional surface,” Dissertation, Moscow State Univ. (1959).

  158. P. I. Shveikin, “Application of normal objects to the geometry of a surface in a projective space,” In:Tr. Geom. Sem., Vol. 6, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 157–170.

    Google Scholar 

  159. A. M. Shelekhov, “On differential-geomet ic objects of higher orders of a multidimensional three-web,” In:Itogi Nauki i Tekhniki. Probl. Geom., Vol. 19, All-Union Institute for Scientific and Technical Information, Moscow (1987), pp. 101–154.

    Google Scholar 

  160. Yu. I. Shinkunas, “On the distribution ofm-dimensional planes in ann-dimensional Riemannian space,” In:Tr. Geom. Sem., Vol. 5, All-Union Institute for Scientific and Technical Information, Moscow (1974), pp. 123–133.

    Google Scholar 

  161. R. N. Shcherbakov, “Ruled differential geometry of a three-space,” In:Itogi Nauki i Tekhniki. Algebra. Topol. Geom. 1965, All-Union Institute for Scientific and Technical Information, Moscow (1967), pp. 265–322.

    Google Scholar 

  162. M. A. Akivis and A. M. Shelekhov,Geometry and Algebra of Multidimensional Three-Webs, Kluwer, Dordrecht-Boston-London (1992).

    MATH  Google Scholar 

  163. M. A. Akivis and B. B. Goldberg,Projective Differential Geometry of Submanifolds, Amsterdam, Holland (1993).

  164. C. Bersano, “Contatti del secondo e del terzo ordine tra varietà iperspaziali,”Rend. R. Ist. Lombardo,56, 267–275 (1923).

    Google Scholar 

  165. L. Bianchi, “Sulle configurazioni di Möbius nelle transformazioni asimtotiche delle curve e delle superficie,”Rend. Palermo,25, 291–325 (1908).

    MATH  Google Scholar 

  166. E. Bortolotti, “--Connessioni nelle varietà luogo di spazi; applicazione alla geometria metrica diiferenziale delle contruenze di rette,”Rend. Semin. Fac. Sci. Univ. Cagliari,3, 81–89 (1933).

    MATH  Google Scholar 

  167. M. Bowen Ray and C. C. Wang,Introduction to Vectors and Tensors, Linear and Multilinear Algebra, Plenum Press, New York-London (1976).

    Google Scholar 

  168. S. S. Buchghens and S. D. Rossinsky, “Deformation des congruences stratifiables,”C.R. Acad. Sci.,189, 140–143 (1929).

    Google Scholar 

  169. S. S. Buchghens and S. D. Rossinsky, “Sur les couples des congruences stratifiables et sur la deformation des surfaces,”Mat. Sb.,36, 339–370 (1929).

    Google Scholar 

  170. E. Cartan, “Sur certaines expressions differentielles et le probleme de Pfaff,”Ann. Ecole Norm.,16, 239–332 (1899).

    MATH  MathSciNet  Google Scholar 

  171. E. Cartan, “Sur la théorie des systèmes en involution et ses applications à la rélativité,”Bul. Soc. Mat. France,59, 88–118 (1931).

    MATH  MathSciNet  Google Scholar 

  172. E. Cartan, “Sur l'intégration des systèmes d'equations aux differentielles totales,”Ann. Ecole. Norm.,18, 241–311 (1901).

    MATH  MathSciNet  Google Scholar 

  173. E. Cartan, “Sur la structure des groupes infinis de transformation,”Ann. Ecole Norm. sup. 3e sér., xxi, 153–206; xxii, 219–308 (1904).

    MathSciNet  Google Scholar 

  174. E. Cartan, “Les sous-groupes de groupes continus de transformations”Ann. Ecole Norm., 3e sér., xxv (1908).

  175. E. Cartan “La structure des groupes de transformations continus et la théorie du trièdre mobil,”Extrait du Bull. de Sci. math. 2e ser., xxxiv, Novembre (1910); In:∄uvres Complètes, Part III, Vol. 1,Divers Géométrie Différentielle, Gauthier Villars, Paris (1955), pp. 145–178.

  176. E. Cartan, “Sur les variétés de courbure constante d'un espac euclidien ou non euclidien,”Bull. Soc. Math. Fr.,47, 125–161 (1919);48, 132–208, (1920).

    MathSciNet  Google Scholar 

  177. E. Cartan, “Sur la déformation des surfaces,”Ann. Ecole Norm. Sup.,37, 397–406 (1920).

    MathSciNet  Google Scholar 

  178. E. Cartan, “Sur la déformation projective des surfaces,”C. R. Acad. Sci.,170, 1439 (1920).

    MATH  Google Scholar 

  179. E. Cartan, “Sur la déformation projective des surfaces,”Ann. Ecole Norm. Sup.,37, 259–356 (1920).

    MATH  MathSciNet  Google Scholar 

  180. E. Cartan, “Sur la possibilité de plonger un espace riemannien donne dans un espace euclidien,”Ann. Soc. Pol. Math.,6, 1–7 (1927); In:∄uvre Completes, Part III, Vol. 2 (1955), pp. 1091–1097.

    MATH  Google Scholar 

  181. E. Cartan.Les Espaces Métriques Fondes sur la Notion d'Aire, Paris (1933).

  182. E. Cartan. “La méthode du repère mobile, la théorie de groupes continus et les espaces généralisés,”Exposés de Géométrie. V, Hermann, Paris (1935) (see [63]).

    Google Scholar 

  183. E. Cartan,La Théorie des Groupes Finis et Continus et la Géométrie Differentielle Traitée par la Methode du Repère Mobile, Gauthier Villars, Paris (1937).

    Google Scholar 

  184. E. Cartan, “Les surfaces qui admitettent une seconde forme foundamentale don. éc,”Bull. Sci. Math.,67, 8–32 (1943); In:∄uvre Complètes, Part III, Vol. 2 (1955), pp. 1637–1672.

    MATH  MathSciNet  Google Scholar 

  185. E. Cotton, “Généralisation de la théorie du trièdre mobile,”Bull. Soc. Math. France,33, 42–61 (1906).

    MathSciNet  Google Scholar 

  186. C. Darboux,Leçons sur la Théorie Générale des Surface, Vol. I, Gauthier Villars, Paris (1887); Vol. II (1889); Vol. III (1894).

    Google Scholar 

  187. A. Demoulin, “Sur la transformation de Guichard et sur les systemèsK,”Bull. Acad. Belg.,2–3, 101–112 (1919).

    Google Scholar 

  188. J. S. Dubnov, “Sur les tenseurs fondamentaux d'une congruence rectiligne,”C. R. Acad. Sci.,192, 399–401 (1931).

    MATH  Google Scholar 

  189. S. Finikov, “Sur les congruences stratifiables,”Rend., Circ. Math. Palermo,53, 313 (1929).

    Google Scholar 

  190. S. P. Finikov, “Sur le problème de S. Bachvaloff dans la théorie des comples stratifiables,”Mat. Sb.,6 (48), 287–314 (1939).

    Google Scholar 

  191. G. Fubini, “Applicabilità proiettiva di due superficie,”Rend. Circ. Math. Palermo,41, 135–162 (1916).

    MATH  Google Scholar 

  192. G. Fubini, “Su una classe di congruenzeW di caractero projecttivo,”Rend. Lincei.,25 (1), 144–148 (1916).

    Google Scholar 

  193. G. Fubini, “Fondamenti della geometria proiettivo-differenziale dei complessi et delle congruenze di retti,”Rend. Lincei.,27 (2), 304–311 (1918).

    MATH  Google Scholar 

  194. O. Galvani, “La réalisation des connexions ponctuelles affines et la géométrie des groupes de Lie,”J. Math. Pures Appl.,25, 209–239 (1946).

    MathSciNet  Google Scholar 

  195. Gh. Gheorghiev, “Sur les groupes de Lie associés aux prolongements réguliers d'une variété différentiable,”C. R. Acad. sci.,265, No. 23, A779-A782 (1967).

    MathSciNet  Google Scholar 

  196. Gh. Gheorghiev, “Sur les prolongements réguliers des espaces fibrés et les groupes de Lie associés,”C. R. Acad. Sci.,266, No. 2, A65-A68 (1968).

    MathSciNet  Google Scholar 

  197. W. C. L. Gorton, “Line congruences,”Amer. J. Math.,11 (1888).

  198. W. Haack, “Affine Differentialgeometrie der Strahlensysteme,”Monatsh. Math. Phys.,36, 47–76 (1929);Math. Z.,33, 232–270 (1931);35, 66–79 (1932).

    Article  MATH  MathSciNet  Google Scholar 

  199. V. Hlavaty, “Affine embedding theory,”Nederl. Akad. Wetensch. Proc. Amsterdam,52, 505–517; 714–724; 977–986 (1949).

    MATH  MathSciNet  Google Scholar 

  200. E. Kähler,Einführung in die Theorie der Systeme von Differentialgleichungen (1934).

  201. E. Kummer, “Allegemeine Theorie der geradlinien Strahlensysteme,”J. Math.,57, 189–230 (1860).

    MATH  Google Scholar 

  202. G. F. Laptev, “Sur une classe des géométries intrinsèques induites sur une surface dans un espace à connexion affine,”Comptes Rend. (Doklady) de l'Acad. Sci. de l'URSS, XLI, No. 8, 315–317 (1943).

    MathSciNet  Google Scholar 

  203. S. Lie, “Vorlesungen über continuerliche Gruppen von G. Scheffers,” Teubner, Leipzig (1893).

    Google Scholar 

  204. P. Lieberman, “Forme canonique d'une forme différentiélle exterieure quadratique fermée,”Acad. Roy. Belgique Bull. Sci.,39, 195–224 (1953).

    Google Scholar 

  205. L. Maurer, “Über allgemeine Invariantensysteme,”Bay. Acad. Wiss. Berichte.,18, 103–150 (1888).

    Google Scholar 

  206. T. Mihąilescu, “Geometrie diferenţialą projectivą,”Acad. RPR., 494 (1958).

  207. T. Mihąilescu, “Geometrie diferenţialą. Teoria corespondenţei,”,Acad. RPR., 232 (1963).

  208. R. Miron and D. Papuc, “Sur la théorie locale des distributions définies sur un espace à connexion affine,”Rev. Math. Pures Appl.,12, No. 4, 537–543 (1967).

    MathSciNet  MATH  Google Scholar 

  209. Gh. Murąrescu, “Sur la théorie locale des distributions définies sur un espace à connexions projective,”Rev. Math. Pures Appl.,13, No. 7, 1001–1007 (1968).

    MATH  Google Scholar 

  210. A. Pantazi, “Sur l'applicabilité projective des hypersurfaces développables,”C. R. Acad. Sci. Paris,185. 1178–1179 (1927).

    MATH  Google Scholar 

  211. A. Pantazi, “Sur l'applicabilité projective des hypersurfaces développables,”Bull. Math. Soc. Roum. Sci.,32, 13–92 (1929).

    MATH  Google Scholar 

  212. A. Pantazi, “Sur les couples de congruences stratifiables,”Bull. Math. Soc. Roum. Sci.,33–34, 51–63 (1932).

    Google Scholar 

  213. A. Pantazi, “Sur certaines propriétés projectives des familles de surfaces,”Matematica Cluj., VII, 70–88 (1933); X, 55–69 (1934).

    Google Scholar 

  214. A. Pantazi, “Sur les quadruples stratifiables conjugués,”C.R.,193, 1668 (1934).

    Google Scholar 

  215. A. Pantazi, “Sur les couples de congruences stratifiables par familles de surfaces réglées,”Bull. Math. Soc. Roum. Sci.,36, 1–23 (1934).

    Google Scholar 

  216. A. Pantazi, “Sur une propriété caracteristique des réseaux R,”Bull. Sect. Sci. Acad. Roum.,17, 173–175 (1935).

    Google Scholar 

  217. A. Pantazi, “Elemente de geometrie differenţialą projectivą a curbelor şi suprafeţelor. Opera Matematicą,”Acad. Rep. Populare Romîne., 389–494 (1956).

  218. A. Pantazi, “Opera matematica,”Acad. R.P.R. 1956.Bucureşti, 496 (1956).

  219. D. I. Papuc and A. C. Albu,Elemente de Geometrie differenţialą globalą. Curs. Timişoara Univ. Fac. materm. mecan., Vol. 12, 1–379 (1970); In:Bibliogr. RSR. Cąrţi albume, hąrţi Vol. 19, No. 21 (1970), pp. 1–30.

    Google Scholar 

  220. J. Schouten, “Über nicht-holonome Übertragungen in einerL nn ,”Math. Z.,30, 149–172 (1929).

    Article  MATH  MathSciNet  Google Scholar 

  221. Selecta Jubilé scientifique M. E. Cartan. Notice sur les travaux scientifiques, Paris (1939).

  222. W. Ślebodziński,Exterior Forms and Their Applications, Inst. Mat. Polskiej Akad. Nauk. Monografie Matematyczne, 1–427 (1970).

  223. F. Speranza, “Sull superficie anolonome di un spazio a connessione lineare,”Boll. Unione Mat. Ital.,18, No. 2, 108–111 (1963).

    MATH  Google Scholar 

  224. Tortorici, “Sulle deformazioni infinitestimale delle superficie e sul teorema di permutabilita,”Rend. Palermo,35, 289–316 (1913).

    Article  MATH  Google Scholar 

  225. I. Vaisman, “Contributions à la géométrie différentielle projective-symplectique,”An. ştiinţ. Univ. Iaşi., Sec. Ia, Monogr., No. 1, 1–125 (1966).

    MathSciNet  Google Scholar 

  226. Gh. Vrąnceanu, “Les espaces nonholonomes,” In:Memorial des Sciences Math., Vol. fasc. 76, Paris (1936).

  227. Gh. Vrąnceanu,Opera Matematicą, Vol. I, Acad. RSR, Bucureşti, 545 (1969).

    Google Scholar 

  228. Gh. Vrąnceanu,Leşons de Géométrie Différentielle, Vol. II, Acad. RPR, 1–426 (1967).

  229. V. Wagner, “Sur ls géometrie différentielle des multiplicités anholonomes,” In:Tr. Sem. Vekt. Tenz. Anal., Vol. 2–3 (1935), pp. 269–318.

  230. A. G. Walker, “Connections for parallel distributions in the large,”Q. J. Math.,6, No. 24, 301–308 (1955).

    MATH  Google Scholar 

Download references

Authors

Additional information

Translated from Itogi Naukii Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 30, Geometriya-3, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ostianu, N.M. The Cartan-Laptev method in the study ofG-structures on manifolds. J Math Sci 89, 1181–1252 (1998). https://doi.org/10.1007/BF02414869

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02414869

Keywords

Navigation