English

The local logarithmic Brunn-Minkowski inequality for zonoids

Metric Geometry 2022-11-22 v2 Differential Geometry Functional Analysis

Abstract

The aim of this note is to show that the local form of the logarithmic Brunn-Minkowski conjecture holds for zonoids. The proof uses a variant of the Bochner method due to Shenfeld and the author.

Cite

@article{arxiv.2202.09429,
  title  = {The local logarithmic Brunn-Minkowski inequality for zonoids},
  author = {Ramon van Handel},
  journal= {arXiv preprint arXiv:2202.09429},
  year   = {2022}
}

Comments

20 pages, final version

R2 v1 2026-06-24T09:45:17.179Z