A necessary condition for the logarithmic Minkowksi problem in higher dimension
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.
Fields of Study & Subjects
Point processes and geometric inequalities
Geometric Analysis and Curvature Flows
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 26 January 2026
- Document type
- Preprint