paper

A direct proof of the Brunn-Minkowski inequality in Nilpotent Lie groups

arXiv:1904.12541

Abstract

The purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann's one of the classical Brunn-Minkowski inequality in Euclidean space.

13 pages, no figures