Home > Articles > Published articles > Projective transformations of convex bodies and volume product |
Date: | 2024 |
Abstract: | In this paper, we study certain variational aspects of the volume product functional restricted to the space of small projective deformations of a fixed convex body. In doing so, we provide a short proof of a theorem by Klartag: a strong version of the slicing conjecture implies the non-symmetric Mahler conjecture. We also exhibit an interesting family of critical convex bodies in dimension containing saddle points for this functional. |
Grants: | Ministerio de Economía, Industria y Competitividad RYC-2016-19334 Ministerio de Ciencia e Innovación CEX2020-001084-M Agencia Estatal de Investigación PID2021-125625NB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-01015 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Published in: | International Mathematics Research Notices, ISSN 1687-0247 |
Available from: 2025-01-31 Postprint |