A centro-projective inequality

Constantin Vernicos, Deane Yang

Research output: Contribution to journalArticlepeer-review


We give a new integral formula for the centro-projective area of a convex body, which was first defined by Berck–Bernig–Vernicos. We then use the formula to prove that it is bounded from above by the centro-projective area of an ellipsoid and that equality occurs if and only if the convex set is an ellipsoid.

Original languageEnglish (US)
Pages (from-to)681-685
Number of pages5
JournalComptes Rendus Mathematique
Issue number8
StatePublished - Aug 2019

ASJC Scopus subject areas

  • General Mathematics


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