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

Published 20 Jun 2016 in math.DG | (1606.06138v1)

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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