REAL

Affine images of isotropic measures

Böröczky, Károly (Ifj.) and Lutwak, E. and Yang, D. and Zhang, G. (2015) Affine images of isotropic measures. JOURNAL OF DIFFERENTIAL GEOMETRY, 99 (3). pp. 407-442. ISSN 0022-040X

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Abstract

Necessary and sufficient conditions are given in order for a Borel measure on the Euclidean sphere to have an affine image that is isotropic. A sharp reverse affine isoperimetric inequality for Borel measures on the sphere is presented. This leads to sharp reverse affine isoperimetric inequalities for convex bodies. © 2015, International Press of Boston, Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: INTERSECTION BODIES; ENTROPY INEQUALITIES; L-0-MINKOWSKI PROBLEM; CENTROID BODIES; VOLUME INEQUALITIES; ISOPERIMETRIC-INEQUALITIES; CONVEX-BODIES; LOG-CONCAVE MEASURES; P SOBOLEV INEQUALITIES; Brunn-Minkowski inequality
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 15 Feb 2016 14:17
Last Modified: 15 Feb 2016 14:17
URI: http://real.mtak.hu/id/eprint/33521

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