A note on Bourgain-Milman's universal constant

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 ${\mathbb{R}}^n$ not necessarily symmetric with respect to the origin from a modified logarithmic Brunn-Minkowski inequality.

8 pages; The proof of Theorem 1.2 of the previous version contained an error and hence was eliminated

References in corpus (1)

• The Logarithmic Minkowski Problem