English

On subspace concentration for dual curvature measures

Metric Geometry 2023-02-21 v1 Functional Analysis

Abstract

We study subspace concentration of dual curvature measures of convex bodies KK satisfying γ(K)K\gamma (-K)\subseteq K for some γ(0,1]\gamma \in (0,1]. We present upper bounds on the subspace concentration depending on γ\gamma, which, in particular, retrieves the known results in the symmetric setting. The proof is based on a unified approach to prove necessary subspace concentration conditions via the divergence theorem.

Keywords

Cite

@article{arxiv.2302.09917,
  title  = {On subspace concentration for dual curvature measures},
  author = {Katharina Eller and Martin Henk},
  journal= {arXiv preprint arXiv:2302.09917},
  year   = {2023}
}
R2 v1 2026-06-28T08:44:24.612Z