In polytopes, small balls about some vertex minimize perimeter
Metric Geometry
2007-05-23 v3
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.
Cite
@article{arxiv.math/0404357,
title = {In polytopes, small balls about some vertex minimize perimeter},
author = {Frank Morgan},
journal= {arXiv preprint arXiv:math/0404357},
year = {2007}
}
Comments
Revision corrects a mistake in the mass bound argument in the proof of Theorem 3.8. J. Geom. Anal., to appear