A strengthening of the dimensional Brunn-Minkowski conjecture implies the (B)-conjecture
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914387387744256 |
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| author | Armeniakos, Sotiris Ulivelli, Jacopo |
| author_facet | Armeniakos, Sotiris Ulivelli, Jacopo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23350 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A strengthening of the dimensional Brunn-Minkowski conjecture implies the (B)-conjecture Armeniakos, Sotiris Ulivelli, Jacopo Functional Analysis Metric Geometry 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. |
| title | A strengthening of the dimensional Brunn-Minkowski conjecture implies the (B)-conjecture |
| topic | Functional Analysis Metric Geometry |
| url | https://arxiv.org/abs/2602.23350 |