Log-Brunn-Minkowski inequality under symmetry
Functional Analysis
2022-03-04 v2
Abstract
We prove the log-Brunn-Minkowski conjecture for convex bodies with symmetries to independent hyperplanes, and discuss the equality case and the uniqueness of the solution of the related case of the logarithmic Minkowski problem. We also clarify a small gap in the known argument classifying the equality case of the log-Brunn-Minkowski conjecture for unconditional convex bodies.
Keywords
Cite
@article{arxiv.2002.12239,
title = {Log-Brunn-Minkowski inequality under symmetry},
author = {Károly J. Böröczky and Pavlos Kalantzopoulos},
journal= {arXiv preprint arXiv:2002.12239},
year = {2022}
}