ELLIPSOIDS ARE THE ONLY LOCAL MAXIMIZERS OF THE VOLUME PRODUCT

Mathieu Meyer, Shlomo Reisner

Research output: Contribution to journalArticlepeer-review

Abstract

Using previous results about shadow systems and Steiner symmetrization, we prove that the local maximizers of the volume product of convex bodies are actually the global maximizers, that is: ellipsoids.

Original languageEnglish
Pages (from-to)500-504
Number of pages5
JournalMathematika
Volume65
Issue number3
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© University College London 2019.

ASJC Scopus subject areas

  • General Mathematics

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