The isotropy constant and boundary properties of convex bodies

Mathieu Meyer, Shlomo Reisner

Research output: Contribution to journalArticlepeer-review


Let Kn be the set of all convex bodies in ℝn endowed with the Hausdorff distance. We prove that if K ∈ Kn has positive generalized Gauss curvature at some point of its boundary, then K is not a local maximizer for the isotropy constant LK.

Original languageEnglish
Pages (from-to)3935-3947
Number of pages13
JournalProceedings of the American Mathematical Society
Issue number9
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© 2016 American Mathematical Society.


  • Convex bodies
  • Isotropy

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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