In polytopes, small balls about some vertex minimize perimeter

Mathematics – Metric Geometry

Scientific paper

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Revision corrects a mistake in the mass bound argument in the proof of Theorem 3.8. J. Geom. Anal., to appear

Scientific paper

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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