A strengthening of the dimensional Brunn-Minkowski conjecture implies the (B)-conjecture

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Sotiris Armeniakos, Jacopo Ulivelli
DOI: 10.48550/arxiv.2602.23350
Cited by: 0

Abstract

We prove that if a sufficiently regular even log-concave measure satisfies a certain stronger form of the dimensional Brunn-Minkowski conjecture, then it also satisfies the (B)-conjecture. Furthermore, we show that hereditarily convex measures satisfy the aforementioned strengthened form, therefore providing an alternative proof of a recent result by Cordero-Erausquin and Eskenazis stating that a hereditarily convex measure satisfies both conjectures.

Fields of Study & Subjects

Point processes and geometric inequalities Geometric Analysis and Curvature Flows Mathematical Inequalities and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 February 2026
Language
EN
Document type
Preprint