Volume inequalities for asymmetric Wulff shapes

Details Volume inequalities for asymmetric Wulff shapes Volume inequalities for asymmetric Wulff shapes

2011-10-10

arxiv.org/abs/1110.2069v2

Mathematics

Differential Geometry

Scientific paper

Sharp reverse affine isoperimetric inequalities for asymmetric Wulff shapes
and their polars are established, along with the characterization of all
extremals. These new inequalities have as special cases previously obtained
simplex inequalities by Ball, Barthe and Lutwak, Yang, and Zhang. In
particular, they provide the solution to a problem by Zhang.

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