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arXiv · 1610.09794

Willmore inequality on hypersurfaces in hyperbolic space

Yingxiang Hu
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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 $3$-space.

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Yingxiang Hu. 2016-10-31. Willmore inequality on hypersurfaces in hyperbolic space. https://arxiv.org/abs/1610.09794

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