The isotropic position and the reverse Santal\'{o} inequality
Metric Geometry
2011-12-15 v1
Abstract
We present proofs of the reverse Santal\'{o} inequality, the existence of M-ellipsoids and the reverse Brunn-Minkowski inequality, using purely convex geometric tools. Our approach is based on properties of the isotropic position.
Keywords
Cite
@article{arxiv.1112.3073,
title = {The isotropic position and the reverse Santal\'{o} inequality},
author = {Apostolos Giannopoulos and Grigoris Paouris and Beatrice-Helen Vritsiou},
journal= {arXiv preprint arXiv:1112.3073},
year = {2011}
}
Comments
22 pages