Inverse mean curvature flow with a free boundary in hyperbolic space
Differential Geometry
2022-03-17 v1 Analysis of PDEs
Abstract
We study inverse mean curvature flow with free boundary supported on geodesic spheres in hyperbolic space. Starting from any convex hypersurface inside a geodesic ball with a free boundary, the flow converges to a totally geodesic disk in finite time. Using the convergence result, we show a Willmore type inequality.
Keywords
Cite
@article{arxiv.2203.08467,
title = {Inverse mean curvature flow with a free boundary in hyperbolic space},
author = {Xiaoxiang Chai},
journal= {arXiv preprint arXiv:2203.08467},
year = {2022}
}
Comments
28 pages, comments welcome