Article ID Journal Published Year Pages File Type
4665897 Advances in Mathematics 2014 13 Pages PDF
Abstract

The cone-volume measure of a polytope with centroid at the origin is proved to satisfy the subspace concentration condition. As a consequence a conjectured (a dozen years ago) fundamental sharp affine isoperimetric inequality for the U-functional is completely established – along with its equality conditions.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
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