A note on Bourgain-Milman's universal constant
Metric Geometry
2014-06-03 v2 Differential Geometry
Abstract
The present note is a result of an on-going investigation into the logarithmic Brunn-Minkowski inequality. We obtain lower estimates on the volume product for convex bodies in not necessarily symmetric with respect to the origin from a modified logarithmic Brunn-Minkowski inequality.
Cite
@article{arxiv.1404.7811,
title = {A note on Bourgain-Milman's universal constant},
author = {Alina Stancu},
journal= {arXiv preprint arXiv:1404.7811},
year = {2014}
}
Comments
8 pages; The proof of Theorem 1.2 of the previous version contained an error and hence was eliminated