Willmore inequality on hypersurfaces in hyperbolic space
Differential Geometry
2016-11-01 v1
Abstract
In this article, we prove a geometric inequality for star-shaped and mean-convex hypersurfaces in hyperbolic space by inverse mean curvature flow. This inequality can be considered as a generalization of Willmore inequality for closed surface in hyperbolic -space.
Cite
@article{arxiv.1610.09794,
title = {Willmore inequality on hypersurfaces in hyperbolic space},
author = {Yingxiang Hu},
journal= {arXiv preprint arXiv:1610.09794},
year = {2016}
}
Comments
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