Skip to main content
SpringerLink
Log in

Conformal development of a curve in a Riemannian space into a Minkowski space

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. é. Cartan, Spaces of Affine, Projective or Conformai Connection [Russian translation of a collection of articles], Kazansk. Univ., Kazan' (1962).

    Google Scholar 

  2. S. Kobayashi, Transformation Groups in Differential Geometry [Russian translation], Nauka, Moscow (1986).

    Google Scholar 

  3. Yu. G. Reshetnyak, Stability Theorems in Geometry and Analysis [in Russian], Nauka, Novosibirsk (1982).

    Google Scholar 

  4. I. G. Nikolaev and S. Z. Shefel', “Differential properties of mappings conformal at a point,” Sibirsk. Mat. Zh.,27, No. 1, 132–142 (1986).

    Google Scholar 

  5. V. V. Slavskii, “Conformally flat metrics and pseudo-Euclidean geometry,” Sibirsk. Mat. Zh.,35, No. 3, 674–682 (1994).

    Google Scholar 

  6. é. Cartan, Theory of Finite Continuous Groups and Differential Geometry Exposed by Means of the Moving Frame Method [Russian translation of two courses of lectures], Moscow Univ., Moscow (1963).

    Google Scholar 

  7. P. Griffiths, “On the Cartan method of Lie groups and moving frames as applied to existence and uniqueness questions in differential geometry,” Duke Math. J.,41, 775–814 (1974).

    Article  Google Scholar 

  8. é. Cartan, Geometry of Riemannian Spaces [Russian translation], ONTI, Moscow (1936).

    Google Scholar 

  9. A. L. Besse, Einstein Manifolds. Vol. 1 [Russian translation], Mir, Moscow (1990).

    Google Scholar 

  10. M. A. Akivis and V. V. Konnov, “Some local aspects of the theory of conformal structures,” Uspekhi Mat. Nauk,48, No. 1, 3–40 (1993).

    Google Scholar 

  11. H. Weyl, Gravitation und Elektrizitât, S.-B. Preuss. Akad. Wiss., Berlin, 1918, pp. 465–480.

    Google Scholar 

  12. G. B. Folland, “Weyl manifolds,” J. Differential Geom.,4, 145–153 (1970).

    Google Scholar 

  13. Yu. G. Reshetnyak, “On the concept of a lift of an irregular path in a fiber bundle and its applications,” Sibirsk. Mat. Zh.,16, No. 3, 588–598 (1975).

    Google Scholar 

  14. S. Sternberg, Lectures on Differential Geometry [Russian translation], Mir, Moscow (1970).

    Google Scholar 

  15. A. L. Besse, Einstein Manifolds. Vol. 2 [Russian translation], Mir, Moscow, pp. 315–703 (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Barnaul

    V. V. Slavskii

Authors
  1. V. V. Slavskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research was supported by the International Science Foundation and the Government of the Russian Federation (Grant JF 3100), the Russian Foundation for Basic Research (Grant 96-01-00436), and the Grant Center at St. Petersburg University (Grant 95-0-1.2-43).

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 37, No. 3, pp. 676–699, May–June, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Slavskii, V.V. Conformal development of a curve in a Riemannian space into a Minkowski space. Sib Math J 37, 591–613 (1996). https://doi.org/10.1007/BF02104861

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02104861

Keywords

Search

Navigation