Skip to main content
Log in

Bending of surfaces. Part II

  • 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.

Literature Cited

  1. A. D. Alexandrov, “On infinitesimal bendings of irregular surfaces,”Mat. Sb.,1, No. 3, 307–322 (1937).

    Google Scholar 

  2. A. D. Alexandrov, “On one class of closed surfaces,”Mat. Sb.,2, No. 1, 69–77 (1978).

    Google Scholar 

  3. A. D. Alexandrov,Convex Polyhedra [in Russian], GITTL, Moscow (1950).

    Google Scholar 

  4. A. D. Alexandrov and E. P. Sen’kin, “On the inflexibility of convex surfaces,”Vestn. LGU, No. 1, 104–106 (1956).

    Google Scholar 

  5. A. D. Alexandrov and S. M. Vladimirova, “On the bending of a polyhedron with solid faces,”Vestn. LGU,13, No. 3, 138–141 (1962).

    Google Scholar 

  6. V. A. Alexandrov, “Notes on Sabitov’s hypothesis about the stability of the volume in infinitesimal bendings of a surface,”Sib. Mat. Zh.,30, No. 5, 16–24 (1989).

    Google Scholar 

  7. T. M. Allaev and V. N. Mikhailovskii, “On the first-order infinitesimal bendings of smooth convex surfaces of revolution governed by conical socket connections along the boundary,”Ukr. Geom. Sb., No. 33, 3–8 (1990).

    Google Scholar 

  8. E. R. Andreichin, “Second-order infinitesimal bendings of a compound surface of revolution under certain boundary conditions,”Godishn. Sofia Univ., Fak. Mat., Mekh.,72, 257–269 (1978).

    MATH  MathSciNet  Google Scholar 

  9. E. R. Andreichin, “Third-order infinitesimal bendings of sliding of some surfaces of revolution,”Godishn Sofia Univ., Fak. Mat., Mekh.,79, No. 1, 271–285 (1985).

    MathSciNet  Google Scholar 

  10. E. R. Andreichin, “Third-order infinitesimal bendings of some surfaces of revolution with conical socket incision,”Godishn. Sofia Univ., Fak. Mat., Mekh.,80, (1986).

  11. E. R. Andreichin, “On points of third-order relative nonrigidity of a surface of revolution,” [in Bulgarian], In:Mathematics and Mathematical Education, Sofia (1988), pp. 129–134.

  12. E. R. Andreichin and I. Kh. Sabitov, “The extension of Rembs theorem to general convex surfaces of revolution,”Ukr. Geom. Sb., No. 26, 13–24 (1983).

    MathSciNet  Google Scholar 

  13. N. I. Bakievich, “Boundary problems for mixed-type equations appearing in the study of infinitesimal bendings of surfaces of revolution,”Uspekhi Mat. Nauk,15, No. 1, 171–176 (1960).

    Google Scholar 

  14. N. I. Bakievich, “On a certain mixed-type equation in the theory of infinitesimal bendings of surfaces,”Volzhsk. Mat. Sb., Teor. Ser.,1, 32–42 (1963).

    MATH  Google Scholar 

  15. K. M. Belov, “On infinitesimal bendings of a torus-shaped surface of revolution with quadrangular meridian,”Sib. Mat. Zh.,9, No. 3, 490–494 (1968).

    MathSciNet  Google Scholar 

  16. B. V. Boyarskii, “On rigidity of some compound surfaces,”Uspekhi Mat. Nauk,14, No. 6, 141–146 (1959).

    MATH  MathSciNet  Google Scholar 

  17. I. S. Brandt, “On a certain problem for infinitesimal deformations of a plane,”Tr. MIEM, Mat. Anal. Prilozhen., No. 53, 11–45 (1975).

    Google Scholar 

  18. B. A. Bublik, “An example of a system of nonrigid smooth closed surfaces with two linearly independent infinitesimal bendings,”Uspekhi Mat. Nauk 14, No. 6, 155–158 (1959).

    MATH  Google Scholar 

  19. B. A. Bublik, “On the existence of nonrigid smooth closed surfaces,”Dokl. Akad. Nauk SSSR,131, No. 4, 725–727 (1960).

    MATH  MathSciNet  Google Scholar 

  20. B. A. Bublik, “On a number of fundamental infinitesimal bendings of closed ribbed surfaces of revolution,”Uspekhi Mat. Nauk,18, No. 2, 121–125 (1963).

    MATH  MathSciNet  Google Scholar 

  21. Yu. D. Burago and V. A. Zalgaller, “On realizations of developments in the form of polyhedrons,”Vestn. LGU, No. 7, 66–80 (1960).

    MathSciNet  Google Scholar 

  22. A. V. Bushmelev and I. Kh. Sabitov, “Configuration spaces of Bricard’s octahedrons,”Ukr. Geom. Sb., No. 33, 36–41 (1990).

    Google Scholar 

  23. I. N. Vekua,Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  24. Yu. A. Volkov, “On deformations of a convex polyhedral angle,”Uspekhi Mat. Nauk,11, No. 5, 209–210 (1956).

    MATH  Google Scholar 

  25. R. F. Galeeva and D. D. Sokolov, “On infinitesimal bendings of a one-sheeted hyperboloid,” In:Issled. po Teorii Poverkhnostei v Riman. Prostr., Leningrad (1984), pp. 41–44.

  26. A. M. Gurin, “Analog of Cauchy’s theorem,”Ukr. Geom. Sb., No. 24, 32–33 (1981).

    MATH  MathSciNet  Google Scholar 

  27. N. V. Efimov, “Qualitative problems of the theory of deformations of surfaces,”Uspekhi Mat. Nauk,3, No. 2, 47–158 (1948).

    MATH  MathSciNet  Google Scholar 

  28. V. A. Zalgaller, “On polygon deformations on a sphere,”Uspekhi Mat. Nauk,11, No. 5, 177–178 (1956).

    MATH  MathSciNet  Google Scholar 

  29. V. A. Zalgaller, “Continuously bending polyhedrons,”Kvant, No. 9, 13–19 (1979).

    Google Scholar 

  30. A. N. Zubkov,An Example of a Nonrigid Closed Surface of Revolution with Stationary Volume [in Russian], Taganrog. Gos. Ped. Inst., Taganrog (1984).

    Google Scholar 

  31. I. Ivanova-Karatopraklieva, “On the nonrigidity of some compound surfaces of revolution,”Mat. Zametki,10, No. 3, 333–344 (1971).

    MATH  MathSciNet  Google Scholar 

  32. I. Ivanova-Karatopraklieva, “On infinitesimal bendings of sliding of some surfaces of revolution,”Mat. Zametki,10, No. 5, 549–554 (1971).

    MATH  MathSciNet  Google Scholar 

  33. I. Ivanova-Karatopraklieva, “Infinitesimal bendings of surfaces of revolution under certain boundary conditions,”Godishn. Sofia Univ., Fak. Mat., Mekh.,67, 235–247 (1972–1973).

    MathSciNet  Google Scholar 

  34. I. Ivanova-Karatopraklieva, “Infinitesimal bendings of mixed-curvature surfaces of revolution,”Serdika, Bolg. Mat. Spisanie,1, No. 3–4, 346–355 (1976).

    MathSciNet  Google Scholar 

  35. I. Ivanova-Karatopraklieva, “On second-order infinitesimal bendings,”Serdika, Bolg. Mat. Spisanie,3, 41–51 (1977).

    MATH  MathSciNet  Google Scholar 

  36. I. Ivanova-Karatopraklieva, “Second-order nonrigidity of some surfaces of revolution,”Serdika, Bolg. Mat. Spisanie,3, No. 2, 159–167 (1977).

    MATH  MathSciNet  Google Scholar 

  37. I. Ivanova-Karatopraklieva, “Certain properties of the fields of infinitesimal bendings of surfaces of revolution,”Godishn. Sofia Univ., Fak. Mat., Mekh.,76, 21–40 (1982–1983).

    MathSciNet  Google Scholar 

  38. I. Ivanova-Karatopraklieva, “Nonrigidity of certain classes of mixed-curvature surfaces of rotation,”Dokl. Bolgar. Akad. Nauk,37, No. 5, 569–572 (1984).

    MATH  MathSciNet  Google Scholar 

  39. I. Ivanova-Karatopraklieva, “Rigidity of certain classes of mixed-curvature surfaces whose boundaries are not parallels,”Serdika, Bolg. Mat. Spisanie,11, No. 4, 330–340 (1985).

    MATH  MathSciNet  Google Scholar 

  40. I. Ivanova-Karatopraklieva, “A field of infinitesimal bendings of a surface of revolution with Gaussian curvature” [in Bulgarian], In:Mathematics and Mathematical Education, Sofia (1985), pp. 251–257.

  41. I. Ivanova-Karatopraklieva, “Fields of the second-order infinitesimal bendings of certain classes of surfaces of rotation,”Godishn. Sofia Univ., Fak. Mat., Mekh.,79, No. 1, 149–160 (1985).

    MathSciNet  Google Scholar 

  42. I. Ivanova-Karatopraklieva, “Higher-order infinitesimal bendings of surfaces of rotation,”Godishn. Sofia Univ., Fak. Mat., Informat.,84, No. 1 (1990).

  43. I. Ivanova-Karatopraklieva and E. Andreichin, “On the relative nonrigidity points of some compound faces of revolution,”Godishn. Sofia Univ., Fak. Mat., Mekh.,69, 53–62 (1974–1975).

    MathSciNet  Google Scholar 

  44. I. Ivanova-Karatopraklieva and I. Kh. Sabitov, “Second-order infinitesimal bendings of surfaces of revolution with flattening at the pole,”Mat. Zametki,45, No. 1, 28–35 (1989).

    MathSciNet  Google Scholar 

  45. I. Ivanova-Karatopraklieva and I. Kh. Sabitov, “Bendings of surfaces. I.,” In: Problemy Geometrii. Vol. 23,Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1991), pp. 131–184.

    Google Scholar 

  46. V. V. Kazak, “Infinitesimal bendings of bounded-by-parallel paraboloid of rotation under the condition of generalized sliding,” In:Mat., Nekotorye ee Prilozh. i Metodika Prepodavaniya, Rostov-on-Don (1973), pp. 67–68.

  47. V. V. Kazak, “Infinitesimal bendings of spherical surfaces under the condition of generalized sliding,” In:Mat., Nekotorye ee Prilozh. i Metodika Prepodavaniya, Rostov-on-Don (1973), pp. 69–70.

  48. M. D. Kovalev, “On rigid immersions of hinge mechanisms,” In:9-aya Vses. Geom. Konf.: Tez. Soobshch., Kishinev (1988), pp. 151–152.

  49. P. I. Kudrik, “Mapping of infinitesimal bendings of convex surfaces,”Vestn. Kiev. Univ., Ser. Mat. Mekh., No. 22, 45–50 (1980).

    MathSciNet  Google Scholar 

  50. P. I. Kudrik, “On G. M. Polozhii’s functions in the theory of infinitesimal bendings of surfaces,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 23, 68–72 (1981).

    Google Scholar 

  51. M. N. Kuznetsov and L. G. Mikhailov, “Infinitesimal bendings of one class of convex surfaces with conic point,”Dokl. Akad. Nauk Tadzh. SSR,15, No. 8, 11–14 (1972).

    Google Scholar 

  52. L. A. Lusternik,Convex Figures and Polyhedra [in Russian], Nauka, Moscow (1956).

    Google Scholar 

  53. A. I. Medyanik, “Model of Connelly’s polyhedron,”Kvant, No. 7, 39 (1979).

    Google Scholar 

  54. Sh. S. Metskhovrishvili, “Momentless stressed state of a torus-shaped shell,”Soobshch. Akad. Nauk Gruz. SSR,16, No. 4, 263–267 (1955).

    Google Scholar 

  55. Sh. S. Metskhovrishvili, “On infinitesimal bendings of a torus-shaped shell,”Soobshch. Akad. Nauk Gruz. SSR,18, No. 5, 521–527 (1957).

    Google Scholar 

  56. Sh. S. Metskhovrishvili, “Problems on the momentless stressed state of a torus-shaped shell,”Tr. Tbilissk. Mat. Inst. Akad. Nauk Gruz. SSR,24, 179–193 (1957).

    MATH  Google Scholar 

  57. A. D. Milka, “On points of relative nonrigidity of a convex surface of revolution,”Ukr. Geom. Sb., No. 1, 65–74 (1965).

    MATH  MathSciNet  Google Scholar 

  58. A. D. Milka, “Analog of Blaschke’s formula for polyhedra,”Ukr. Geom. Sb., No. 1, 62–64 (1965).

    MATH  MathSciNet  Google Scholar 

  59. A. D. Milka, “On a Stoker’s hypothesis,”Ukr. Geom. Sb., No. 9, 85–86 (1970).

    MATH  MathSciNet  Google Scholar 

  60. A. D. Milka, “What is geometry ‘in the large’?” In:Novoe v Zhisni, Nauke, Tekhnike. Ser. Matem., Kibern., Vol. 3, Znanie, Moscow (1986), pp. 3–31.

    Google Scholar 

  61. V. I. Mikhailovskii, “Studying infinitesimal bendings of some surfaces with negative curvature,”Vestnik Kiev. Univ., Ser. Mat., Mekh.,1, No. 2, 79–93 (1958).

    Google Scholar 

  62. V. I. Mikhailovskii, “Infinitesimal bendings of compound surfaces of revolution with negative curvature,”Vestn. Kiev. Univ., Ser. Mat., Mekh.,1, No. 5, 79–93 (1962).

    Google Scholar 

  63. V. I. Mikhailovskii, “Infinitesimal bendings of surfaces of revolution with negative curvature under conditions of conic socket connections,”Dokl. Akad. Nauk Ukr. SSR, No. 8, 990–993 (1962).

    Google Scholar 

  64. V. I. Mikhailovskii, “Infinitesimal bendings of sliding of surfaces of revolution with negative curvature,”Ukr. Mat. Zh.,14, No. 1, 18–29 (1962).

    Google Scholar 

  65. V. I. Mikhailovskii, “Infinitesimal bendings of piecewise-regular surfaces of revolution with negative curvature,”Ukr. Mat. Zh.,14, No. 4, 422–426 (1962).

    Google Scholar 

  66. V. I. Mikhailovskii, “Infinitesimal bendings of some nonconvex piecewise-regular closed surfaces with negative curvature,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 4, 69–79 (1964).

    Google Scholar 

  67. V. I. Mikhailovskii and D. Uteuliev, “On infinitesimal bendings of ribbed surfaces of revolution fixed along a boundary relative to points,”Izv. Akad. Nauk Kazkh. SSR, Ser. Fiz., Mat., No. 1, 45–51 (1973).

    Google Scholar 

  68. V. I. Mikhailovskii and D. Uteuliev, “On some boundary problems in the theory of infinitesimal bendings of surfaces of rotation,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 18, 54–62 (1976).

    Google Scholar 

  69. V. I. Mikhailovskii and M. Sherkuziev, “First-order infinitesimal bendings of surfaces of revolution with positive Gaussian curvature under conditions of conic socket connections,” In:Differents. Geometriya Mnogoobrazii, Tashkent (1980), pp. 34–45.

  70. V. I. Mikhailovskii and M. Sherkuziev, “On some criteria of the analytic inflexibility of surfaces of solution,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 23, 88–93 (1981).

    Google Scholar 

  71. K. K. Mokrishchev, “On the unique determination of some arbitrary curved surfaces,”Comment. Math. Univ. Carol,5, No. 4, 203–208 (1964).

    MATH  MathSciNet  Google Scholar 

  72. K. K. Mokrishchev, “On infinitesimal bendings of a torus,”Comment. Math. Univ. Carol,7, No. 3, 279–288 (1966).

    Google Scholar 

  73. K. K. Mokrishchev, “On the problem of infinitesimal bendings of a torus,”Comment. Math. Univ. Carol,8, No. 2, 331–333 (1967).

    MATH  Google Scholar 

  74. K. K. Mokrishchev and N. G. Perlova, “On first- and second-order infinitesimal bendings of sliding of convex ribbed belts of revolution,” In:Mat. Anal. ego Pril. Vol. 1, Rostov-on-Don (1969), pp. 133–142.

  75. Ngueng Tkhan’ Dao, “On rigidity of surfaces of revolution with a boundary governed by external connections,” In:Molodoe Uchenye — Nauch.-Tekhn. Progressu, Rostov-on-Don (1973), pp. 34–39.

  76. N. G. Perlova, “On first- and second-order infinitesimal bendings of convex ribbed surfaces of revolution,” In:Soobshch. na 2i Konf. Rostovsk. Nauchn. Mat. Ob-va, Rostov-on-Don (1969), pp. 116–124.

  77. N. G. Perlova, “On first-, second- and third-order infinitesimal bendings of closed ribbed surfaces of rotation,”Comment. Math. Univ. Carol,10, No. 1, 1–35 (1969).

    MATH  MathSciNet  Google Scholar 

  78. N. G. Perlova, “On high-order infinitesimal bendings of closed surfaces of revolution,”Comment. Math. Univ. Carol,11, No. 1, 31–51 (1970).

    MATH  MathSciNet  Google Scholar 

  79. N. G. Perlova, “On first- and second-order infinitesimal bendings of ribbed segments and belts of revolution,” In:Materialy 10i Nauchno-Teor. Konf. Aspirantov. Ser. Estestv. Tochn. Nauki, Rostov-on-Don (1970), pp. 63–70.

  80. N. G. Perlova, “On infinitesimal bendings of ribbed troughs of revolution,” In:Mat. Analiz i Ego Prilozheniya. Vol. 2, Rostov-on-Don (1970), pp. 53–62.

  81. N. G. Perlova, “On first- and second-order infinitesimal bendings of ribbed surfaces of rotation with preservation of normal curvature or geodesic torsion of a boundary parallel,”Mat. Zametki,10, No. 2, 135–144 (1971).

    MATH  MathSciNet  Google Scholar 

  82. N. G. Perlova, “On sliding first-, second- and third-order infinitesimal bendings of ribbed surfaces of revolution bounded by one parallel,”Comment. Math. Univ. Carol,12, No. 4, 807–823 (1971).

    MATH  MathSciNet  Google Scholar 

  83. N. G. Perlova, “A condition of second-order rigidity of a doubly connected surface of revolution,”Comment. Math. Univ. Carol,13, No. 1, 23–29 (1972).

    MATH  MathSciNet  Google Scholar 

  84. N. G. Perlova, “On points of first- and second-order relative nonrigidity of ribbed surfaces of revolution,” In:Mat. Analiz i Ego Pril., Vol. 4, Rostov-on-Don (1972), pp. 16–28.

  85. N. G. Perlova, “On infinitesimal bendings of ridge torus-shaped surfaces of revolution,” In:Mat. Analiz i Ego Pril., Vol. 4, Rostov-on-Don (1972), pp. 95–1-9.

  86. N. G. Perlova, “On extension of first-order infinitesimal bendings of closed ridge surfaces into the second-order infinitesimal bendings,”Izv. Vuzov, Mat., No. 9, 84–89 (1972).

    MATH  MathSciNet  Google Scholar 

  87. N. G. Perlova, “Sliding infinitesimal bendings of convex surfaces of revolution,”Comment. Math. Univ. Carol,15, No. 3, 407–414 (1974).

    MATH  MathSciNet  Google Scholar 

  88. N. G. Perlova, “On a condition of second-order rigidity,”Comment. Math. Univ. Carol,16, No. 3, 425–433 (1975).

    MATH  MathSciNet  Google Scholar 

  89. N. G. Perlova and E. N. Kononova, “On sliding third-order infinitesimal bendings,”Izv. Sev.-Kavk. Nauchn. Tsentr. Vyssh. Shkol. Estestv. Nauk, No. 1, 40–43 (1989).

    MathSciNet  Google Scholar 

  90. N. G. Perlova and I. Kh. Sabitov, “Second-order rigidity of troughs of revolution of theC 2 class,”Vestn. MGU, Mat., Mekh., No. 5, 47–52 (1975).

    MathSciNet  Google Scholar 

  91. N. Yu. Petkevich, “On a certain boundary problem in the theory of infinitesimal bendings of surfaces with negative curvature,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 523–527 (1972).

    Google Scholar 

  92. A. V. Pogorelov, “New proof of the inflexibility of convex polyhedra,”Uspekhi Mat. Nauk,11, No. 5, 207–208 (1956).

    MATH  MathSciNet  Google Scholar 

  93. A. V. Pogorelov, “Special infinitesimal bendings of a convex surface,”Tr. Mat. Inst. Akad. Nauk SSSR,166, 210–212 (1984).

    MATH  MathSciNet  Google Scholar 

  94. E. G. Poznyak, “An example of a closed surface with a singular point, possessing a countable fundamental system of infinitesimal bendings,”Uspekhi Mat. Nauk,12, No. 3, 363–367 (1957).

    MATH  MathSciNet  Google Scholar 

  95. E. G. Poznyak, “Relation between first- and second-order nonrigidities for surfaces of revolution,”Uspekhi Mat. Nauk,14, No. 6, 179–184 (1959).

    MATH  MathSciNet  Google Scholar 

  96. E. G. Poznyak, “Nonrigid closed polyhedra,”Vestn. MGU, Mat., Mekh., No. 3, 14–19 (1960).

    MATH  Google Scholar 

  97. E. G. Poznyak, “On second-order nonrigidity,”Uspekhi Mat. Nauk,16, No. 1, 157–161 (1961).

    MATH  MathSciNet  Google Scholar 

  98. M. N. Radchenko, “Infinitesimal bendings of piecewise-regular convex surfaces of revolution,”Vestnik Kiev. Univ., Ser. Astron., Mat., Mekh.,2, No. 2, 92–101 (1959).

    Google Scholar 

  99. M. N. Radchenko, “Infinitesimal bendings of some ridge surfaces,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 4, 112–117 (1961).

    Google Scholar 

  100. M. N. Radchenko, “On infinitesimal bendings of some surfaces with negative curvature,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 8, 110–112 (1966).

    Google Scholar 

  101. M. N. Radchenko, “On fields of bendings of some infinite surfaces with negative curvature,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 10, 68–71 (1968).

    Google Scholar 

  102. M. N. Radchenko, “On the structure of fields of bendings of a straight circular cylindrical belt”,Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 17, 146–152 (1975).

    Google Scholar 

  103. Yu. G. Reshetnyak, “On nonrigid surfaces of revolution”,Sib. Mat. Zh.,3, No. 4, 591–604 (1962).

    MATH  Google Scholar 

  104. I. Kh. Sabitov, “On the rigidity of some surfaces of revolution”,Mat. Sb.,60, No. 4, 506–519 (1963).

    MATH  MathSciNet  Google Scholar 

  105. I. Kh. Sabitov, “On the rigidity of “crimping” surfaces of revolution”,Mat. Zametki,14, No. 4, 517–522 (1973).

    MATH  MathSciNet  Google Scholar 

  106. I. Kh. Sabitov, “On infinitesimal bendings of troughs of revolution.I”,Mat. Sb.,98, No. 1, 113–129 (1975); “On infinitesimal bendings of troughs of rotation. II”,Mat. Sb.,99, No. 1, 49–57 (1976).

    MathSciNet  Google Scholar 

  107. I. Kh. Sabitov, “A possible generalization of the Minagawa-Rado lemma on the rigidity of a surface of rotation with a fixed parallel”,Mat. Zametki,19, No. 1, 123–132 (1976).

    MATH  MathSciNet  Google Scholar 

  108. I. Kh. Sabitov, “Description of bendings of degenerating suspensions”,Mat. Zametki,33, No. 6, 901–914 (1983).

    MATH  MathSciNet  Google Scholar 

  109. I. Kh. Sabitov, “Two-dimensional Riemannian manifolds with local metric of revolution”, In:8aya Vsesoyusn. Nauchn. Konf. po Sovr. Probl. Diff. Geom.: Tez. Dokl., Odessa (1984), p. 138;Colloq. Diff. Geom., Aug. 20–26, 1989, Eger, Hungary (1989), pp. 47–48.

  110. I. Kh. Sabitov, “Study of the rigidity and inflexibility of analytic surfaces of revolution with flattening at the pole”,Vestn. MGU, Mat., Mekh., No. 5, 29–36 (1986).

    MATH  MathSciNet  Google Scholar 

  111. I. Kh. Sabitov, “Algorithmic checking of the flexibility of suspensions”,Ukr. Geom. Sb., No. 30, 109–112 (1987).

    MATH  Google Scholar 

  112. I. Kh. Sabitov, “New classes of inflexible polyhedra”, In:Vses. Knof. po Geometrii i Analizy. Tezisy, Novosibirsk (1989), p. 72.

  113. I. Kh. Sabitov, “Local theory of bendings of surfaces”, In:Sovr. Probl. Mat. Fund. Napravleniya. Vol. 48,Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information, Akad. Nauk SSSR, Moscow (1989), pp. 196–270.

    Google Scholar 

  114. E. P. Sen’kin, “Unique determination of convex polyhedra”,Uspekhi Mat. Nauk,11, No. 5, 211–213 (1956).

    MathSciNet  Google Scholar 

  115. Sun He-Sheng, “Some criteria of rigidity for surfaces of rotation”,Dokl. Akad. Nauk SSSR,116, No. 5, 758–761 (1957).

    MathSciNet  Google Scholar 

  116. Sun He-Sheng, “Some problems of infinitesimal bendings of surfaces”,Dokl. Akad. Nauk SSSR,122, No. 4, 559–561 (1958).

    MathSciNet  Google Scholar 

  117. Sun, He-Sheng, “Uniqueness of the solution of degenerating equations and the rigidity of a surface”,Dokl. Akad. Nauk SSSR,122, No. 5, 770–773 (1958).

    MathSciNet  Google Scholar 

  118. Sun He-Sheng, “On the rigidity of surfaces with nonnegative curvature under conditions of socket connections”,Scientica Sinica,9, No. 3, 305–359 (1960).

    Google Scholar 

  119. S. S. Tasmuratov, “Bending of a polygon into a polyhedron with a given boundary”,Sib. Mat. Zh.,15, No. 6, 1338–1347 (1974).

    MATH  MathSciNet  Google Scholar 

  120. S. S. Tasmuratov, “Bending of a finitely connected polygon into a polyhedron with a given boundary”, In:Geometriya, Vol. 6, Leningrad (1977), pp. 102–107.

  121. G. P. Tkachuk, “Some conditions of the rigidity of surfaces of revolution with mixed-type curvature”,Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 2, 102–105 (1962).

    Google Scholar 

  122. G. P. Tkachuk, “Infinitesimal bendings of sliding of some surfaces of revolution with alternating curvature”,Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 11, 81–86 (1969).

    Google Scholar 

  123. G. P. Tkachuk, “Infinitesimal bendings of sliding of surfaces of revolution with alternating curvature and parabolic parallels of another type”,Dokl. Akad. Nauk Ukr. SSR, No. 2, 144–347 (1972).

    Google Scholar 

  124. G. P. Tkachuk, “Infinitesimal bendings of surfaces of revolution with alternating curvature governed by conic socket connections”,Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 16, 113–117 (1974).

    Google Scholar 

  125. D. A. Trotsenko, “On nonrigid analytic surfaces of revolution”,Sib. Mat. Zh.,21, No. 5, 100–108 (1980).

    MATH  MathSciNet  Google Scholar 

  126. V. I. Trushkina, “Theorem on the coloring and rigidity of a convex polyhedron”,Ukr. Geom. Sb., No. 24, 116–122 (1981).

    MATH  MathSciNet  Google Scholar 

  127. V. I. Trushkina, “A method of three-color coloring of graphs”,Sib. Mat. Zh.,28, No. 2, 186–200 (1987).

    MATH  MathSciNet  Google Scholar 

  128. Z. D. Usmanov, “Infinitesimal bendings of surfaces sewn from pieces of second-order surfaces of revolution”,Dokl. Akad. Nauk Tadzh. SSR,7, No. 5, 9–13 (1964).

    Google Scholar 

  129. V. T. Fomenko, “Assessment of the set cardinality of nonrigid socket connections for surfaces of revolution”,Dokl. Akad. Nauk SSSR,169, No. 4, 781–784 (1966).

    MATH  MathSciNet  Google Scholar 

  130. V. T. Fomenko, “Some results in the theory of infinitesimal bendings of surfaces”,Mat. Sb.,72, No. 3, 388–441 (1967).

    MATH  MathSciNet  Google Scholar 

  131. S. T. Khineva, “Infinitesimal bendings of piecewise regular surfaces of revolution with negative curvature”,Godishn. Sofia Univ., Fak. Mat., Mekh.,67, 41–53 (1972–1973).

    Google Scholar 

  132. N. I. Cherney, “On infinitesimal bendings of sliding of spherical segments relative to an arbitrary plane”,Ukr. Mat. Zh.,14, No. 4, 440–446 (1962).

    Google Scholar 

  133. G. N. Chernis, “Nonrigid ridge surfaces with a boundary”,Ukr. Mat. Zh.,16, No. 4, 550–558 (1964).

    MATH  Google Scholar 

  134. G. N. Chernis, “On a certain criterion of the rigidity of a convex surface of revolution under conditions of conic socket connections”,Izv. Vuzov, Mat., No. 1, 111–115 (1976).

    MATH  Google Scholar 

  135. G. N. Chernis, “Criteria of nonrigidity of nonclosed ribbed surfaces of revolution”,Vestn. Kiev. Univ., Ser. Mat., Mekh.,19, 21–25 (1977).

    Google Scholar 

  136. M. Sherkuziev, “On the analytical inflexibility of surfaces, fixed along the curve on the surface with respect to a point and a plane”, In:Differents. Geometriya Mnogoobrazii, Tashkent (1980), pp. 23–33.

  137. V. I. Shimko, “On the problem of constructing nonrigid closed ribbed surfaces of revolution”,Izv. Vuzov, Mat.,37, 184–187 (1964).

    Google Scholar 

  138. L. A. Shor, “On the bending of convex polyhedra with a boundary”,Mat. Sb.,45, No. 4, 471–488 (1958).

    MATH  MathSciNet  Google Scholar 

  139. L. A. Shor, “On the flexibility of convex polyhedra with a ‘cut’”,Ukr. Mat. Zh.,16, 513–620 (1964).

    MATH  Google Scholar 

  140. A. I. Shtern, “Stoicheia and Platonic polyhedra”, In:Antichnaya Kultura i Sovr.Nauka, Nauka, Moscow (1985), pp. 35–42.

    Google Scholar 

  141. M. Artin, “Algebraic approximations of structures over complete local rings”,IHES Publ. Math., No. 36, 23–58 (1969).

    MATH  MathSciNet  Google Scholar 

  142. L. Asimow and B. Roth, “The rigidity of graphs. I”,Trans. Amer. Math. Soc.,245, 279–289 (1978).

    MathSciNet  Google Scholar 

  143. L. Asimow and B. Roth, “The rigidity of graphs. II”,J. Math. Anal. Appl.,68, No. 1, 171–190 (1979).

    MathSciNet  Google Scholar 

  144. E. J. Baker, “On structures and linkage”,Struct. Topol.,5, 39–44 (1981).

    Google Scholar 

  145. T. F. Banchoff, “Nonrigidity theorem for tight polyhedra”,Arch. Math. 21, No. 4, 416–423 (1970).

    MATH  MathSciNet  Google Scholar 

  146. D. W. Barnette and B. Grunbaum, “On Steinitz’s theorem concerning convex 3-polytopes and some properties of planar graphs”,Lect. Notes Math.,110, 27–40 (1969).

    MathSciNet  Google Scholar 

  147. M. Berger,Géométrie. Parts 1–5, CEDIC, Fernan Nathan (1977).

    Google Scholar 

  148. W. Blaschke, “Uber Paare umfangsgleichez Eilinien”,Jahresber. Deutsch. Math. Vereinig.,48, No. 1, 69–74 (1938).

    MATH  Google Scholar 

  149. D. Bleecker, “Infinitesimal deformations of portions of the standard sphere inE 3”,Amer. Math. Monthly,87, No. 3, 175–182 (1980).

    MATH  MathSciNet  Google Scholar 

  150. G. Bol, “Uber einen Satz von Cauchy”,Jahresber. Deutsch. Math. Vereining.,48, No. 1, 74–76 (1938).

    MATH  Google Scholar 

  151. E. D. Bolker and B. Roth, “When is a bipartite graph a rigid framework?”,Pacif. J. Math. 90, No. 1, 27–44 (1980).

    MathSciNet  Google Scholar 

  152. N. Chakravaty, G. Kolman, S. McGuinnes, and A. Recski, “One-story buildings as tension frameworks”,Struct. Topol.,12, 11–18 (1986).

    Google Scholar 

  153. S. S. Chern, “Curves and surfaces in euclidean space”, In:Studies in Global Geometry and Analysis. Math. Ass. Amer., Vol. 4 (1967), pp. 16–56.

  154. S. Cohn-Vossen, “Unstare geschlossene Flachen”,Math. Ann,102, No. 1, 10–29 (1929).

    MATH  MathSciNet  Google Scholar 

  155. R. Connelly, “An attack on rigidity. I.”,Bull. Amer. Math. Soc.,81, No. 3, 566–569 (1975).

    MATH  MathSciNet  Google Scholar 

  156. R. Connelly,An Attack on Rigidity. I–II, Preprint, Cornell Univ. (1974).

  157. R. Connelly, “An immersed polyhedral surface which flexes”,Indiana Univ. Math. J.,25, No. 10, 965–972 (1976).

    MATH  MathSciNet  Google Scholar 

  158. R. Connelly, “A counterexample to the rigidity conjecture for polyhedra”,IHES Publ. Math., No. 47, 333–338 (1978).

    Google Scholar 

  159. R. Connelly, “The rigidity of polyhedral surfaces”,Math. Mag.,52, No. 5, 275–283 (1979).

    MATH  MathSciNet  Google Scholar 

  160. R. Connelly, “Conjectures and open questions in rigidity”, In:Proc. Int. Congr. Math., Helsinki, 15–23 Aug., 1978, Helsinki (1980), pp. 407–414.

  161. R. Connelly, “The rigidity of certain cabled frameworks and the second-order rigidity of arbitrary giangulated convex surfaces”,Adv. Math.,37, No. 3, 272–299 (1980).

    MATH  MathSciNet  Google Scholar 

  162. R. Connelly, “Rigidity and energy”,Invent. Math.,66, No. 1, 11–33 (1982).

    MATH  MathSciNet  Google Scholar 

  163. R. Connelly,The Basic Concepts of Infinitesimal Rigidity, Preprint, Cornell Univ. (1988).

  164. R. Connelly,The Basic Concepts of Static Rigidity, Preprint, Cornell Univ. (1988).

  165. R. Connelly, “Rigid circle and sphere packings. Part I: Finite packings,”Struct. Topol.,14, 43–60 (1988).

    MATH  MathSciNet  Google Scholar 

  166. R. Connelly, “Rigid circle and sphere packings. Part II: Infinite packings with finite motion,”Struct. Topol.,16, 57–76 (1990).

    MATH  MathSciNet  Google Scholar 

  167. R. Connelly, “Rigidity,” In:Handbook of Convex Geometry (1992).

  168. R. Connelly and W. Whiteley,Second-Order Rigidity and Pre-Stress Stability for Tension Frameworks, Preprint, Cornell Univ. (1990).

  169. H. Crapo, “Structural rigidity,”Struct. Topol.,1, 26–45 (1979).

    MATH  MathSciNet  Google Scholar 

  170. H. Crapo and W. Whiteley, “The tetrahedral-octahedral truss,”Struct. Topol.,7, 51–60 (1982).

    MathSciNet  Google Scholar 

  171. H. Crapo and W. Whiteley, “Statics of frameworks and motions of panel structures: a projective geometric introduction,”Struct. Topol.,6, 43–82 (1982).

    MathSciNet  Google Scholar 

  172. A. Dandurand, “La rigidite des reseaux spatiaux composes,”Struct. Topol.,10, 41–56 (1984).

    MATH  MathSciNet  Google Scholar 

  173. W. Egloff, “Eine Bemerkung zu Cauchy’s Satz uber die Starrheit konvexer Vielflache,”Abhandl. Math. Semin. Univ., Hamburg,209, No. 3–4, 253–256 (1956).

    MathSciNet  Google Scholar 

  174. A. Fogelsanger,A Generic Rigidity of Minimal Cycles, Preprint, Cornell Univ. (1988).

  175. P. Gario, “II theorema di Cauchy sulla rigidita dei poliedri convessi,”Archimede,33, No. 1–2, 53–59 (1981).

    MATH  MathSciNet  Google Scholar 

  176. H. Gluck, “Almost all simple connected closed surfaces are rigid,”Lect. Notes Math.,438, 225–239 (1975).

    MATH  MathSciNet  Google Scholar 

  177. B. Grunbaum and G. Shephard,Lectures in Lost Mathematics, Mimeographed Notes, Univ. of Washington (1975).

  178. B. Grunbaum and G. Shephard, “Rigidity of polyhedra, frameworks and cabled frameworks,”Notices mer. Math. Soc.,25, No. 6, Abstract 760-d3, A-642 (1978).

    Google Scholar 

  179. B. Grunbaum and G. Shephard, “Rigid plate frameworks,”Struct. Topol.,14, 1–8 (1988).

    MathSciNet  Google Scholar 

  180. T. L. Heath,The Thirteen Books of Euclid’s Elements, Cambridge (1926).

  181. L. A. Hinrich, “Prismatic tension,”Struct. Topol.,9, 3–14 (1984).

    Google Scholar 

  182. I. Ivanova-Karatopraklieva, “Infinitesimal bendings of higher order of rotational surfaces,”Dokl. Bolg. Akad.,43, No. 12, 13–16 (1990).

    MATH  MathSciNet  Google Scholar 

  183. P. Kann, “Counting types of rigid frameworks,”Invent. Math.,55, No. 3, 297–308 (1979).

    MathSciNet  Google Scholar 

  184. E. Kann, “Infinitesimal rigidity of almost-convex oriented polyhedra of arbitrary Euler characteristic,”Pacif. J. Math.,144, No. 1, 71–103 (1990).

    MATH  MathSciNet  Google Scholar 

  185. H. Karcher, “Remarks on polyhedra with given dihedral angles,”Commun. Pure Appl. Math.,21, No. 2, 169–174 (1968).

    MATH  MathSciNet  Google Scholar 

  186. N. Kuiper, “Spheres poliedriques dans E, d’apres Robert Connelly,”Lect. Notes Math.,700, 147–168 (1979).

    MathSciNet  Google Scholar 

  187. G. Laman, “On graph rigidity of plane skeletal structures,”J. Eng. Math.,4, No. 4, 331–340 (1970).

    MATH  MathSciNet  Google Scholar 

  188. N. Liebmann, “Uber die Verbiegung der geschlossen Flachen positiver die Krummung,”Math. Ann.,53, 81–112 (1900).

    Article  MATH  MathSciNet  Google Scholar 

  189. N. Liebmann, “Uber die Verbiegung der geschlossen Ringflache,” In:Gottinger Nachr. (1901), pp. 39–53.

  190. N. Liebmann, “Bedingte Flachenverbiegungen, in besondere Gleitverbiegungen,”Sitzber. Bayerische Ak. D. Wiss (Munchen Berichte), 21–48 (1920).

  191. L. Locacz and Y. Yemini, “On generic rigidity in the plane,”SIAM J. Algebr. Discrete Method.,3, 91–98 (1982).

    Google Scholar 

  192. T. Minagawa and T. Rado, “On the infinitesimal rigidity of surfaces,”Osaka Math. J.,4, No. 2, 241–285 (1952).

    MathSciNet  Google Scholar 

  193. T. Minagawa and T. Rado, “On the infinitesimal rigidity of surfaces of revolution,”Math. Z.,59, No. 2, 151–163 (1953).

    MathSciNet  Google Scholar 

  194. J. Nitsche, “Beitrage zur Verbiegung zweifach zusammenhangender Flachenstucke,”Math. Z.,62, No. 4, 388–399 (1955).

    MATH  MathSciNet  Google Scholar 

  195. O. Pylarinos, “Sur les surfaces a courbure moyenne constante applicables sur des surfaces de revolution,”Ann. Mat. Pure Appl.,59, 319–350 (1962).

    MATH  MathSciNet  Google Scholar 

  196. J.-L. Raymond, “La rigidite generique des graphes biparti-complets dans ℝd,”Struct. Topol.,10, 57–62 (1984).

    MATH  MathSciNet  Google Scholar 

  197. E. Rembs, “Über die Verbiegung parabolische berandeter Flächen negativer Krümmung,”Math. Z.,35, 529–535 (1932).

    Article  MATH  MathSciNet  Google Scholar 

  198. E. Rembs, “Uber Gleitverbiegungen,”Math. Ann.,111, 587–595 (1935).

    Article  MATH  MathSciNet  Google Scholar 

  199. E. Rembs, “Zur Verbiegung von Flachen im Grossen,”Math. Z.,56, No. 3, 271–279 (1952).

    MATH  MathSciNet  Google Scholar 

  200. B. Roth, “Questions on the rigidity of structures,”Struct. Topol.,4, 67–71 (1980).

    MATH  MathSciNet  Google Scholar 

  201. B. Roth, “Rigid and flexible frameworks,”Amer. Math. Monthly,88, No. 1, 6–21 (1981).

    MATH  MathSciNet  Google Scholar 

  202. B. Roth and W. Whiteley,The Rigidity of Frameworks Given by Convex Surfaces, Preprint, Cornell Univ. (1988).

  203. B. Roth and W. Whiteley, “Rigidity of tension frameworks,”Trans. Amer. Math. Soc.,265, No. 2, 419–446 (1981).

    MathSciNet  Google Scholar 

  204. I. M. Roussos, “Principal-curvature-preserving isometries of surfaces in ordinary space,”Bol. Soc. Brasil. Math.,18, No. 2, 95–105 (1987).

    MATH  MathSciNet  Google Scholar 

  205. I. J. Schoenberg, S. K. Zaremba, “On Cauchy’s lemma concerning convex polygons,”Can. J. Math.,19, No. 5, 1062–1071 (1967).

    MathSciNet  Google Scholar 

  206. O. Schramm,How to Cage an Egg, Preprint, Cornell Univ. (1990).

  207. Z. Soyucok, “On infinitesimal deformation of the surfaces of revolution,”Bull. Tech. Univ. Istanbul.,88, 303–308 (1985).

    MathSciNet  Google Scholar 

  208. Z. Soyucok, “On the infinitesimal rigidity of a convex belt,”Pure Appl. Math. Sci.,1–2, 1–3 (1989).

    MathSciNet  Google Scholar 

  209. M. Spivak,A Comprehensive Introduction to Differential Geometry, Vol. 5, Publish or Perish, Berkeley (1975).

    Google Scholar 

  210. K. Steffen, “A symmetric flexible Connelly sphere with only nine vertexes,”A Letter in IHES (1978).

  211. J. J. Stoker, “Geometrical problems concerning polyhedra in the large,”Commun. Pure Appl. Math.,21, No. 2, 119–168 (1968).

    MATH  MathSciNet  Google Scholar 

  212. J. J. Stoker,Differential Geometry, Wiley-Interscience, London (1969).

    Google Scholar 

  213. Sun He-Sheng, “On problems of the infinitesimal deformation of surfaces of revolution with mixed curvature,”Chin. Ann. Math.,2, 187–199 (1981).

    Google Scholar 

  214. Sun He-Sheng, “Problems of the rigidity of the surfaces with mixed Gauss curvature and boundary value problems for the equations of mixed type,” In:Proc. Beijing Symp. Differ. Geom. and Differ. Equat., Vol. 3, 1441–1450 (1982).

  215. Sun He-Sheng, “Problems of the deformation of surfaces and the equations of mixed type\(w_{\eta \eta } + sgn\eta w_{\xi \xi } + \tfrac{{m(\eta )}}{{\eta ^2 }}w = 0\),”Acta Math. Sinica,26, No. 1, 88–97 (1983).

    MathSciNet  Google Scholar 

  216. T.-S. Tay, “Review: Rigidity problems in bar-and-joint frameworks and linkages of rigid bodies,”Struct. Topol.,8, 33–36 (1983).

    MathSciNet  Google Scholar 

  217. T.-S. Tay and W. Whiteley, “Recent advances in the general rigidity of structures,”Struct. Topol.,9, 31–38 (1984).

    MathSciNet  Google Scholar 

  218. T.-S. Tay and W. Whiteley, “Generating isostatic frameworks,”Struct. Topol.,11, 21–70 (1985).

    MathSciNet  Google Scholar 

  219. B. Wegner, “On the projective invariance of shaky structures in euclidean space,”Acta Mech.,53, No. 3–4, 163–171 (1984).

    MATH  MathSciNet  Google Scholar 

  220. B. Wegner, “Infinitesimal rigidity of cone-like and cylinder-like frameworks,”Acta Mech.,57, No. 3–4, 253–259 (1985).

    MATH  MathSciNet  Google Scholar 

  221. N. L. White and W. Whiteley, “The algebraic-geometry of stresses in frameworks,”SIAM J. Alg. Discrete Math.,4, No. 4, 481–511 (1983).

    MathSciNet  Google Scholar 

  222. N. L. White and W. Whiteley, “The algebraic-geometry of motions of bar-and-body frameworks,”SIAM J. Alg. Discrete Math.,8, No. 1, 1–52 (1987).

    MathSciNet  Google Scholar 

  223. W. Whiteley, “Motions of bipartite frameworks,”Struct. Topol.,3, 62–63 (1979).

    MathSciNet  Google Scholar 

  224. W. Whiteley, “Infinitesimal motions of bipartite frameworks,”Pacif. J. Math.,110, 233–255 (1982).

    MathSciNet  Google Scholar 

  225. W. Whiteley, “Motions of trusses and bipartite frameworks,”Struct. Topol.,7, 61–68 (1982).

    MATH  MathSciNet  Google Scholar 

  226. W. Whiteley, “Motions of stresses of projected polyhedra,”Struct. Topol.,7, 13–38 (1982).

    MATH  MathSciNet  Google Scholar 

  227. W. Whiteley, “Infinitesimally rigid polyhedra. I: Statics of frameworks,”Trans. Amer. Math. Soc.,285, No. 2, 431–465 (1984).

    MATH  MathSciNet  Google Scholar 

  228. W. Whiteley, “Infinitesimally rigid polyhedra. II: Modified spherical framework,”Trans. Amer. Math. Soc.,306, No. 1, 115–139 (1988).

    MATH  MathSciNet  Google Scholar 

  229. W. Whiteley,Infinitesimally Rigid Polyhedra. III: Toroidal Frameworks, Preprint, Champlain Regional College, St. Lambert (1985).

    Google Scholar 

  230. W. Whiteley, “Vertex splitting in isostatic frameworks,”Struct. Topol.,16, 23–30 (1990).

    MATH  MathSciNet  Google Scholar 

  231. W. Whiteley, “Rigidity and polarity. I: Statics of sheet structures,”Geom. Dedic.,22, No. 3, 329–362 (1987).

    MATH  MathSciNet  Google Scholar 

  232. W. Whiteley, “Rigidity and polarity. II: Weaving lines and tension frameworks,”Geom. Dedic.,30, No. 3, 255–259 (1989).

    MATH  MathSciNet  Google Scholar 

  233. W. Whiteley, “Applications of the geometry of rigid structures.” In:Comp., Aided Geom. Reasoning, Vol. I, II (Sofia-Antipolis, 1987), Rocquencourt (1987), pp. 217–254.

  234. W. Wunderlich, “Wackeldodekaedr,”Ber. Math. Statist. Sek. Forchungszent Graz., No. 140–150, 149/1–149/8 (1980).

    Google Scholar 

  235. W. Wunderlich, “Neue Wackelikosaedr,”Anz. Osterr. Akad. Wiss. Math. Naturwiss. Kl.,117, No. 1-9, 28–33 (1980).

    MathSciNet  Google Scholar 

  236. W. Wunderlich, “Wackelige Doppelpyramiden,”Anz. Osterr. Akad. Wiss. Math. Naturwiss. Kl.,117, No. 1-9, 82–87 (1980).

    MathSciNet  Google Scholar 

  237. W. Wunderlich, “Wackelikosaedr,”Geom. Dedic.,11, No. 2, 137–146 (1981).

    MATH  MathSciNet  Google Scholar 

  238. W. Wunderlich, “Kipp-Ikosaedr,”Elem. Math.,36, No. 3, 153–158 (1981).

    MATH  MathSciNet  Google Scholar 

  239. W. Wunderlich, “Projective invariance of shaky structures,”Acta Mech.,42, No. 3–4, 171–181 (1982).

    MATH  MathSciNet  Google Scholar 

  240. W. Wunderlich, “Eine merkwürdige Familie von beweglichen Stabweken,”Elem. Math.,34, No. 6, 132–137 (1979).

    MATH  MathSciNet  Google Scholar 

  241. W. Wunderlich, “Zur projektiven Invarianz von Waskelstructuren,”Z. Angew. Math. Mech.,60, 703–708 (1980).

    MATH  MathSciNet  Google Scholar 

  242. W. Wunderlich, H. Obrecht, “Large spatial deformation of rods using generalized variational principles,” In:Nonlinear Finite-Element Analysis in Structural Mechanics, Proc. Europe — U. S. Workshop, Bochum (1980/1981), pp. 185–216.

  243. W. Wunderlich, “Wackeldodekaeder,”Elem. Math.,37, No. 6, 153–163 (1982).

    MATH  MathSciNet  Google Scholar 

  244. W. Wunderlich, “Ebene Kurven mit einem beweglichen geschlossenen Sehnenpolygon,”Arch. Math.,38, No. 1, 18–25 (1982).

    MATH  MathSciNet  Google Scholar 

  245. W. Wunderlich, “Fast bewegliche Oktaeder mit zwei Symmetriebenen,”Rad. Jugosl. Akad. Znan. Umjetn. Mat. Znan.,6, 129–135 (1987).

    MATH  Google Scholar 

  246. A. D. Ziebur, “On a double eigenvalue problem,”Proc. Amer. Math. Soc.,5, No. 2, 201–202 (1954).

    MATH  MathSciNet  Google Scholar 

Download references

Authors

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 8, Geometriya-1, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivanova-Karatopraklieva, I., Sabitov, I.K. Bending of surfaces. Part II. J Math Sci 74, 997–1043 (1995). https://doi.org/10.1007/BF02362831

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02362831

Navigation