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- Title
- Inverse mean curvature flow with a free boundary in hyperbolic space
- KIAS Author
- Chai, Xiaoxiang
- Journal
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024
- Archive
-
https://arxiv.org/abs/2203.08467
- Abstract
- We study the inverse mean curvature flow with a 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.