In polytopes, small balls about some vertex minimize perimeter

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

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Metric Geometry, 49Q20

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http://salesiana.dossiersoluciones.com/handle/123456789/120612

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404357
 http://arxiv.org/abs/math/0404357

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arXiv