A necessary condition for the logarithmic Minkowksi problem in higher dimension
Differential Geometry
2026-01-27 v1
Abstract
In this paper, we establish a necessary condition for the logarithmic Minkowski problem in higher dimensions. This result generalizes a necessary condition proposed by Liu, Lu, Sun, and Xiong in their investigation of the two-dimensional case, and also refines the so-called subspace concentration condition.
Cite
@article{arxiv.2601.18167,
title = {A necessary condition for the logarithmic Minkowksi problem in higher dimension},
author = {Mijia Lai and Zixiao Wang},
journal= {arXiv preprint arXiv:2601.18167},
year = {2026}
}