On constant mean curvature surfaces in the Heisenberg group
Differential Geometry
2025-01-16 v1
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.
Cite
@article{arxiv.2501.08721,
title = {On constant mean curvature surfaces in the Heisenberg group},
author = {Dmitry Berdinsky},
journal= {arXiv preprint arXiv:2501.08721},
year = {2025}
}
Comments
8 pages; published in 2012; self-archiving