In polytopes, small balls about some vertex minimize perimeter
classification
🧮 math.MG
keywords
ballsminimizeperimetersmallsomevertexargumentbound
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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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