Inverse mean curvature flow with a free boundary in hyperbolic space
arXiv:2203.08467
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.
28 pages, comments welcome