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arXiv · 2501.08721

On constant mean curvature surfaces in the Heisenberg group

Dmitry Berdinsky
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Abstract

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.

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Dmitry Berdinsky. 2025-01-15. On constant mean curvature surfaces in the Heisenberg group. https://arxiv.org/abs/2501.08721

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