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arXiv · 1606.06138

A geometric inequality for convex free boundary hypersurfaces in the unit ball

Ben Lambert·Julian Scheuer
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Abstract

We use the inverse mean curvature flow with a free boundary perpendicular to the sphere to prove a geometric inequality involving the Willmore energy for convex hypersurfaces of dimension $n\geq 3$ with boundary on the sphere.

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Ben Lambert, Julian Scheuer. 2016-06-20. A geometric inequality for convex free boundary hypersurfaces in the unit ball. https://doi.org/10.1090/proc/13516

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