https://neckpinch.com/authors/emanuel-milman/New arXiv papers by Emanuel Milman, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2304.12839/arxiv:2304.12839Tue, 25 Apr 2023 00:00:00 GMTMohammad N. Ivaki, Emanuel Milman — Employing a local version of the Brunn-Minkowski inequality, we give a new and simple proof of a result due to Andrews, Choi and Daskalopoulos that the origin-centred balls are the only closed, self-similar solutions of the Gauss curvature flow. Extensions to various non-linearities are obtained, assuming the centroid of the enclosed convex body is at the origin. By applying our method to the Alexandrov-Fenchel inequality, we also show that origin-centred balls are the only solutions to a large class of even Christoffel-Minkowski type problems.Other curvature flowsGauss curvature flowStability & uniquenessGeometric inequalities