This article is cited in 4 papers

On constant mean curvature surfaces in the Heisenberg group

D. A. Berdinsky<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: This work is devoted to the theory of surfaces of constant mean curvature in the three-dimensional Heisenberg group. It is proved that each surface of such a kind locally corresponds to some solution of the system of a sine-Gordon type equation and a first order partial differential equation.

Key words: Heisenberg group, constant mean curvature surface.

UDC: 514.772.22

Received: 09.04.2010

 English version: Siberian Advances in Mathematics, 2012, 22:2, 75–79

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