A centro-projective inequality

Constantin Vernicos; Deane Yang

doi:10.1016/j.crma.2019.07.005

A centro-projective inequality

Constantin Vernicos, Deane Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	681-685
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	357
Issue number	8
DOIs	https://doi.org/10.1016/j.crma.2019.07.005
State	Published - Aug 2019

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2019.07.005

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abstract = "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.",

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A centro-projective inequality

Abstract

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