In polytopes, small balls about some vertex minimize perimeter

Frank Morgan

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In polytopes, small balls about some vertex minimize perimeter

Frank Morgan

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Abstract

In (the surface of) a convex polytope P^n in R^n+1, for small prescribed volume, geodesic balls about some vertex minimize perimeter. This revision corrects a mistake in the mass bound argument in the proof of Theorem 3.8.

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Frank Morgan. 2006-12-23. In polytopes, small balls about some vertex minimize perimeter. https://arxiv.org/abs/math/0404357

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