The Blaschke-Santalo Inequality
Metric Geometry
2018-11-15 v3 Functional Analysis
Abstract
The Blaschke-Santal\'o Inequality is the assertion that the volume product of a centrally symmetric convex body in Euclidean space is maximized by (and only by) ellipsoids. In this paper we give a Fourier analytic proof of this fact.
Keywords
Cite
@article{arxiv.1312.0244,
title = {The Blaschke-Santalo Inequality},
author = {Gabriele Bianchi and Michael Kelly},
journal= {arXiv preprint arXiv:1312.0244},
year = {2018}
}
Comments
Substantial revision and new author added. In particular, the cases of equality in the Blaschke-Santal\'o inequality are determined. 11 pages