On zonoids whose polars are zonoids

Details On zonoids whose polars are zonoids On zonoids whose polars are zonoids

1997-07-28

arxiv.org/abs/math/9707210v1

Mathematics

Metric Geometry

Scientific paper

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

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