The Santalo-regions of a convex body

Details The Santalo-regions of a convex body The Santalo-regions of a convex body

1997-07-05

arxiv.org/abs/math/9707209v1

Mathematics

Metric Geometry

Scientific paper

Motivated by the Blaschke-Santal\'o inequality, we define for a
convex body K in ${\bf R}^n$ and for $t \in {\bf R}$ the
Santal\'o-regions S(K,t) of K. We investigate properties of these
sets and relate them to a concept of Affine Differential Geometry, the affine
surface area of K.

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