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arXiv · 2203.08467

Inverse mean curvature flow with a free boundary in hyperbolic space

Xiaoxiang Chai
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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.

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Xiaoxiang Chai. 2022-03-16. Inverse mean curvature flow with a free boundary in hyperbolic space. https://arxiv.org/abs/2203.08467

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