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arxiv: 1606.06138 · v1 · pith:DFKLZFVInew · submitted 2016-06-20 · 🧮 math.DG

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

classification 🧮 math.DG
keywords boundaryconvexfreegeometrichypersurfacesinequalitysphereball
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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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