Restricted chord projection and affine inequalities

Research output: Contribution to journalArticlepeer-review

Abstract

It is proved that if ∏*K is the polar projection body of a convex body K in Rn, then the volumes of K and ∏*K satisfy the inequality {Mathematical expression} with equality if and only if K is a simplex. A new zonoid, called the mean zonoid, is defined and some inequalities which characterize the simplices are also proved.

Original languageEnglish (US)
Pages (from-to)213-222
Number of pages10
JournalGeometriae Dedicata
Volume39
Issue number2
DOIs
StatePublished - Aug 1991

ASJC Scopus subject areas

  • Geometry and Topology

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