References
N. V. Efimov, Mat. Sb. 64(2), 286 (1964).
D. Hilbert, Grundlagen der Geometrie (B. G. Teubner, Leipzig, 1930; Gostekhizdat, Moscow-Leningrad, 1948).
N. V. Efimov, Dokl. Akad. Nauk SSSR 93(4), 609 (1953).
N. V. Efimov, Dokl. AKad. Nauk SSSR 93(3), 393 (1953).
E. Heinz, Math. Ann. 129(1), 451 (1955).
N. V. Efimov, Dokl. Akad. Nauk SSSR 150(6), 1206 (1963).
T. K. Milnor, Adv. inMath. 8(3), 474 (1972).
N. V. Efimov, Mat. Sb. 76(4), 499 (1968).
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)].
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.
A. Sanini, Boll. Un. Mat. Ital. B (7) 11(2), Suppl., 79 (1997).
Author information
Authors and Affiliations
Corresponding author
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
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434611050154