On constant mean curvature surfaces in the Heisenberg group
arXiv:2501.08721
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.
8 pages; published in 2012; self-archiving