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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Official URL: http://projecteuclid.org/euclid.jdg/1424880981
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 |
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| 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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