Open Access
October 2012 Volume inequalities for asymmetric Wulff shapes
Franz E. Schuster, Manuel Weberndorfer
J. Differential Geom. 92(2): 263-283 (October 2012). DOI: 10.4310/jdg/1352297808

Abstract

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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Franz E. Schuster. Manuel Weberndorfer. "Volume inequalities for asymmetric Wulff shapes." J. Differential Geom. 92 (2) 263 - 283, October 2012. https://doi.org/10.4310/jdg/1352297808

Information

Published: October 2012
First available in Project Euclid: 7 November 2012

zbMATH: 1264.53010
MathSciNet: MR2998673
Digital Object Identifier: 10.4310/jdg/1352297808

Rights: Copyright © 2012 Lehigh University

Vol.92 • No. 2 • October 2012
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