Skip to main content
Log in

Surfaces in the three-dimensional Heisenberg group on which the Gauss map has bounded Jacobian

  • Short Communications
  • Published:
Mathematical Notes 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. N. V. Efimov, Mat. Sb. 64(2), 286 (1964).

    MathSciNet  Google Scholar 

  2. D. Hilbert, Grundlagen der Geometrie (B. G. Teubner, Leipzig, 1930; Gostekhizdat, Moscow-Leningrad, 1948).

    MATH  Google Scholar 

  3. N. V. Efimov, Dokl. Akad. Nauk SSSR 93(4), 609 (1953).

    MATH  MathSciNet  Google Scholar 

  4. N. V. Efimov, Dokl. AKad. Nauk SSSR 93(3), 393 (1953).

    MATH  MathSciNet  Google Scholar 

  5. E. Heinz, Math. Ann. 129(1), 451 (1955).

    Article  MATH  MathSciNet  Google Scholar 

  6. N. V. Efimov, Dokl. Akad. Nauk SSSR 150(6), 1206 (1963).

    MathSciNet  Google Scholar 

  7. T. K. Milnor, Adv. inMath. 8(3), 474 (1972).

    Article  MATH  MathSciNet  Google Scholar 

  8. N. V. Efimov, Mat. Sb. 76(4), 499 (1968).

    MathSciNet  Google Scholar 

  9. P. Scott, The Geometries of 3-Manifolds, in Mathematics: New in Foreign Science (Mir, Moscow, 1986), Vol. 39 [Bull. Lond. Math. Soc. 15, 401 (1983)].

    Google Scholar 

  10. P. Tomter, “Constant mean curvature surfaces in the Heisenberg group,” in Differential Geometry. Partial Differential Equations on Manifolds, Proc. Sympos. Pure Math., Los Angeles, 1990 (Amer.Math. Soc., Providence, R. I., 1993), Vol. 54, Part 1, pp. 485.

    Google Scholar 

  11. A. Sanini, Boll. Un. Mat. Ital. B (7) 11(2), Suppl., 79 (1997).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Borisenko.

Additional information

Original Russian Text © A. A. Borisenko, E. V. Petrov, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 5, pp. 794–796.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borisenko, A.A., Petrov, E.V. Surfaces in the three-dimensional Heisenberg group on which the Gauss map has bounded Jacobian. Math Notes 89, 746–748 (2011). https://doi.org/10.1134/S0001434611050154

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434611050154

Keywords

Navigation