The classification of complete stable area-stationary surfaces in the Heisenberg group $\mathbb{H}^1$
Differential Geometry
2010-02-10 v4 Metric Geometry
Abstract
We prove that any complete, orientable, connected, stable area-stationary surface in the sub-Riemannian Heisenberg group is either a Euclidean plane or congruent to the hyperbolic paraboloid .
Keywords
Cite
@article{arxiv.0810.5249,
title = {The classification of complete stable area-stationary surfaces in the Heisenberg group $\mathbb{H}^1$},
author = {Ana Hurtado and Manuel Ritoré and César Rosales},
journal= {arXiv preprint arXiv:0810.5249},
year = {2010}
}
Comments
32 pages, no figures, added reference missed in version 3