Skip to main content
Log in

The G. F. Laptev method: fundamental objects of mappings

  • 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. G. Atanasiu and M. Rahula, New Aspects of Second-Order Differential Geometry. To Connection Theory [in Russian], Tartu Univ. Press, Tartu (2007).

    Google Scholar 

  2. G. Atanasiu, V. Balan, N. Brynzei, and M. Rahula, Tangent Structures, Vector Fields and Motions [in Russian], LKI, Moscow (2009).

    Google Scholar 

  3. W. Bertram, “Differential geometry, Lie groups and symmetric spaces over general base fields and rings,” Mem. Am. Math. Soc., 192, No. 900 (2008).

    Google Scholar 

  4. S. P. Finikov, Cartan Exterior Form Method [in Russian], GITTL, Moscow-Leningrad (1950).

    Google Scholar 

  5. G. B. Folland, “Quantum field theory. A tourist guide for mathematicians,” Am. Math. Soc., Providence, Rhode Island (2008).

  6. G. F. Laptev, “To invariant analytical theory of differentiable mappings,” In: Proceedings of Geometric Workshop [in Russian], 6, All-Union Institute for Scientific and Technical Information, USSR Academy of Sciences, Moscow (1974), pp. 37–42.

    Google Scholar 

  7. A. Morimoto, “Liftings of tensor fields and connections to tangent bundles of higher order,” Nagoya Math. J., 40, 99–120 (1970).

    MATH  MathSciNet  Google Scholar 

  8. A. P. Norden, Affine Connection Spaces [in RUssian], GITTL, Moscow-Leningrad (1950).

    Google Scholar 

  9. M. Rahula, “Orthogonal invariants of an immersion and a submersion,” Ukr. Geom. Sb., 21, 111–119 (1978).

    MathSciNet  Google Scholar 

  10. M. Rahula, New Problems in Differential Geometry, WSP (1993).

  11. M. Rahula, “Les invariants des mouvements,” In: Proceedings of the 4th International Colloquium of Mathematics in Engineering and Numerical Physics (MENP-4), BSG Proceedings, 14 (2007), pp. 145–153.

  12. M. Rahula and V. Retšnoi, “Total differentiation under jet composition,” J. Nonlin. Math. Phys., 13 Suppl., 102–109 (2006).

  13. D. J. Saunders, The Geometry of Jet Bundles, Cambridge Univ. Press, Cambridge (1989).

    Book  MATH  Google Scholar 

  14. I. A. Shouten and D. J. Struik, An Introduction to New Methods of Differential Geometry [Russian translation], GITTL, Moscow-Leningrad (1939).

    Google Scholar 

  15. C. Udrişte, M. Ferrara, and D. Opriş, Economic geometric dynamics, GBP, Bucharest (2004).

    MATH  Google Scholar 

  16. J. T. White, The Method of Iterated Tangents with Applications in Local Riemannian Geometry, Pitman Publ. (1982).

  17. K. Yano and S. Bochner, Curvature and Betti Numbers [Russian translation], IL, Moscow (1957).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 124, Part 2, Geometry, 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rahula, M. The G. F. Laptev method: fundamental objects of mappings. J Math Sci 174, 675–697 (2011). https://doi.org/10.1007/s10958-011-0325-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-011-0325-7

Keywords

Navigation