On constant mean curvature surfaces in the Heisenberg group

Siberian Advances in Mathematics, V. 22, N. 2, pp. 75-79 (2012) We study constant mean curvature surfaces in the three-dimensional Heisenberg group. We prove that a constant mean curvature surface in a neighborhood of non-umbilic point is described by some solution of a sinh-Gordon equation subject...

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1. Verfasser: Berdinsky, Dmitry
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Sprache:eng
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Zusammenfassung:Siberian Advances in Mathematics, V. 22, N. 2, pp. 75-79 (2012) We study constant mean curvature surfaces in the three-dimensional Heisenberg group. We prove that a constant mean curvature surface in a neighborhood of non-umbilic point is described by some solution of a sinh-Gordon equation subject to a first order differential constraint.
DOI:10.48550/arxiv.2501.08721