Log-Brunn-Minkowski inequality under symmetry

Autor: Böröczky, Károly J., Kalantzopoulos, Pavlos
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: We prove the log-Brunn-Minkowski conjecture for convex bodies with symmetries to $n$ 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.
Databáze: arXiv