The Santalo-regions of a convex body
Metric Geometry
2016-09-07 v1 Functional Analysis
Abstract
Motivated by the Blaschke-Santal\'o inequality, we define for a convex body K in and for 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.
Keywords
Cite
@article{arxiv.math/9707209,
title = {The Santalo-regions of a convex body},
author = {Mathieu Meyer and Elisabeth Werner},
journal= {arXiv preprint arXiv:math/9707209},
year = {2016}
}