Height estimates for constant mean curvature graphs in $\mathrm{Nil}_3$ and $\widetilde{PSL}_2(\mathbb{R})$
Differential Geometry
2019-03-19 v3
Abstract
In this paper we obtain height estimates for compact, constant mean curvature vertical graphs in the homogeneous spaces and . As a straightforward consequence, we announce a structure-type result for proper graphs defined on relatively compact domains.
Cite
@article{arxiv.1803.06688,
title = {Height estimates for constant mean curvature graphs in $\mathrm{Nil}_3$ and $\widetilde{PSL}_2(\mathbb{R})$},
author = {Antonio Bueno},
journal= {arXiv preprint arXiv:1803.06688},
year = {2019}
}