The Logarithmic Minkowski Problem
Metric Geometry
2025-02-11 v1
Abstract
In analogy with the classical Minkowski problem, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume measure of the unit ball of a finite dimensional Banach space.
Cite
@article{arxiv.2502.05430,
title = {The Logarithmic Minkowski Problem},
author = {Károly J. Böröczky and Erwin Lutwak and Deane Yang and Gaoyong Zhang},
journal= {arXiv preprint arXiv:2502.05430},
year = {2025}
}