Abstract
In (the surface of) a convex polytope Pn in ℝn+1, for small prescribed volume, geodesic balls about some vertex minimize perimeter.
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Morgan, F. In polytopes, small balls about some vertex minimize perimeter. J Geom Anal 17, 97–106 (2007). https://doi.org/10.1007/BF02922085
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DOI: https://doi.org/10.1007/BF02922085