The Blaschke-Santalo Inequality

Abstract

The Blaschke-Santaló 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.

Substantial revision and new author added. In particular, the cases of equality in the Blaschke-Santaló inequality are determined. 11 pages

References in corpus (1)

• A remark on the Mahler conjecture: local minimality of the unit cube

Cited by in corpus (2)

• Forward and Reverse Entropy Power Inequalities in Convex Geometry
• Asymmetric Blaschke-Santaló functional inequalities