On zonoids whose polars are zonoids

Abstract

Zonoids whose polars are zonoids cannot have proper faces of dimension other than $n-1$ or zero ($n\ge 3$). However, there exist non smooth zonoids whose polars are zonoids. Examples in $R^3$ and $R^4$ are given.

References in corpus (1)

• Inverse formula for the Blaschke-Levy representation with applications to zonoids and sections of star bodies