Skip to main content
SpringerLink
Log in

Hyperbolic bendings of surfaces

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

Abstract

The paper investigates isolated singular points of the family of characteristics of a hyperbolic bending of a surface, as well as providing certain consequences characterizing the bending of closed surfaces and surfaces with boundaries.

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

Similar content being viewed by others

Literature cited

  1. K. M. Belov, “On bendings of ruled surfaces,” Sibirsk. Matem. Zh.,11, No. 2, 464–467 (1970).

    Google Scholar 

  2. K. M. Belov, “On the question of bendings of surfaces,” Ukr. Geom. Sbornik,9, 13–19 (1971).

    Google Scholar 

  3. K. M. Belov, “On closed surfaces,” Matem, Zametki,5, No. 6, 719–721 (1969).

    Google Scholar 

  4. H. Frank, “Kongruenzsätze für Sternflächen in Räumen konstanter Krümmung,” Publications Math.,13, Nos. 1–4, 187–201 (1966).

    Google Scholar 

  5. A. A. Andronov et al., Qualitative Theory of Second Order Dynamic Systems [in Russian], Moscow (1966).

  6. A. A. Andronov et al., Theory of Bifurcations of Dynamic Systems on Planes [in Russian], Moscow (1967).

  7. V. T. Fomenko, “On bendings and single-valued determinacy of surfaces of positive curvature with boundaries,” Dokl. Akad. Nauk SSSR,144, No. 2, 283–285 (1962).

    Google Scholar 

  8. K. M. Belov, “On single-valued determinacy of surfaces of positive curvature with boundaries,” Dokl. Akad. Nauk SSSR,127, No. 2, 239–241 (1959).

    Google Scholar 

  9. K. M. Belov, “On boundary conditions in problems of surface bending,” Sibirsk. Matem. Zh.,12, No. 1, 216–220 (1971).

    Google Scholar 

  10. H. Hopf and H. Samelson, “Zum Beweis des Kongruenzsätzes für Flächen,” Math. Z.,43, 749–766 (1938).

    Google Scholar 

  11. H. Schilt, “Über die isolierten nullstellen der Flächenkrummung und einige Verbiegbarsätze,” Compos. Math.,5, No. 2, 239–283 (1937).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Civil Engineering, USSR

    K. M. Belov

Authors
  1. K. M. Belov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 10, No, 4, pp. 469–478, October, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belov, K.M. Hyperbolic bendings of surfaces. Mathematical Notes of the Academy of Sciences of the USSR 10, 702–706 (1971). https://doi.org/10.1007/BF01106469

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01106469

Keywords

Search

Navigation