Skip to main content
SpringerLink
Log in

To the question of smoothness of isometries

  • 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. E. Calabi and Ph. Hartman, “On the smoothness of isometries” Duke Math. J.,37, No. 4, 741–751 (1970).

    Google Scholar 

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

    Google Scholar 

  3. Yu. G. Reshetnyak, “Differential properties of quasiconformal mappings and conformal mappings between Riemannian spaces,” Sibirsk. Mat. Zh.,19, No. 5, 1166–1185 (1978).

    Google Scholar 

  4. S. Z. Shefel', “Conformal correspondence of metrics and the smoothness of isometric immersions,” Sibirsk. Mat. Zh.,20, No. 2, 397–401 (1979).

    Google Scholar 

  5. S. Z. Shefel', “The smoothness of a conformal mapping between Riemannian spaces,” Sibirsk. Mat. Zh.,23, No. 1, 153–159 (1982).

    Google Scholar 

  6. I. Kh. Sabitov, “Local theory of deformations of surfaces,” in: Itogi Naukii Tekhniki. Sovrem. Probl. Mat. Fund. Naprav. Vol. 48 [in Russian], VINITI, Moscow, 1989, pp. 196–270.

    Google Scholar 

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

    Google Scholar 

  8. N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1988).

    Google Scholar 

Download references

Authors
  1. I. Kh. Sabitov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 4, pp. 169–176, July–August, 1993.

Translated by A. R. Mullagaliev

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sabitov, I.K. To the question of smoothness of isometries. Sib Math J 34, 741–748 (1993). https://doi.org/10.1007/BF00975178

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00975178

Search

Navigation