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arXiv · 2602.23350

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

Sotiris Armeniakos·Jacopo Ulivelli
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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.

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Sotiris Armeniakos, Jacopo Ulivelli. 2026-02-26. A strengthening of the dimensional Brunn-Minkowski conjecture implies the (B)-conjecture. https://arxiv.org/abs/2602.23350

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