We prove that the unit cube Bn is a strict local minimizer for the Mahler volume product voln(K)voln(K*) in the class of origin-symmetric convex bodies endowed with the Banach-Mazur distance.

Original languageEnglish
Pages (from-to)419-430
Number of pages12
JournalDuke Mathematical Journal
Volume154
Issue number3
DOIs
StatePublished - 1 Sep 2010

    Scopus subject areas

  • Mathematics(all)

ID: 47859091