Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915944281931776 |
|---|---|
| author | Zhang, Rongkai |
| author_facet | Zhang, Rongkai |
| contents | In this paper we discuss some results regarding the rigidity of the Borell-Brascamp-Lieb inequality and the Brunn-Minkowski inequality. We show a theorem of rigidity on curvature and measure of the Borell-Brascamp-Lieb inequality, a generalisation of the curvature rigidity theorem by Balogh and Kristály (Advances in Mathematics 339: 453-494, 2018, arXiv:1704.04180) to the weighted setting. We present some rigidity results of the Brunn-Minkowski inequality and a few further open problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00562 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds Zhang, Rongkai Differential Geometry 53C21 In this paper we discuss some results regarding the rigidity of the Borell-Brascamp-Lieb inequality and the Brunn-Minkowski inequality. We show a theorem of rigidity on curvature and measure of the Borell-Brascamp-Lieb inequality, a generalisation of the curvature rigidity theorem by Balogh and Kristály (Advances in Mathematics 339: 453-494, 2018, arXiv:1704.04180) to the weighted setting. We present some rigidity results of the Brunn-Minkowski inequality and a few further open problems. |
| title | Rigidity of the Borell-Brascamp-Lieb Inequality on Weighted Riemannian Manifolds |
| topic | Differential Geometry 53C21 |
| url | https://arxiv.org/abs/2604.00562 |