General Affine Invariances Related to Mahler Volume

Dongmeng Xi, Yiming Zhao

Research output: Contribution to journalArticlepeer-review


General affine invariances related to Mahler volume are introduced. We establish their affine isoperimetric inequalities by using a symmetrization scheme that involves a total of 2n elaborately chosen Steiner symmetrizations at a time. The necessity of this scheme, as opposed to the usual Steiner symmetrization, is demonstrated with an example (see the Appendix).

Original languageEnglish (US)
Pages (from-to)14151-14180
Number of pages30
JournalInternational Mathematics Research Notices
Issue number18
StatePublished - Sep 1 2022
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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