The isotropic position and the reverse Santaló inequality

Details The isotropic position and the reverse Santaló inequality The isotropic position and the reverse Santaló inequality

2011-12-13

arxiv.org/abs/1112.3073v1

Mathematics

Metric Geometry

22 pages

Scientific paper

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.

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