The local logarithmic Brunn-Minkowski inequality for bodies of revolution
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866917361391501312 |
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| author | Iffland, Luca |
| author_facet | Iffland, Luca |
| contents | We prove the local logarithmic Brunn-Minkowski inequality for bodies of revolution. Furthermore, we give a generalization for one origin symmetric body of revolution and one body of revolution that does not need to be symmetric and restrict possible equality cases. The proof uses an operator theoretic approach together with the decomposition of spherical functions into isotypical components with respect to rotations around a fixed axis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17912 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The local logarithmic Brunn-Minkowski inequality for bodies of revolution Iffland, Luca Metric Geometry Differential Geometry math.MG (Primary), math.DG (Secondary) We prove the local logarithmic Brunn-Minkowski inequality for bodies of revolution. Furthermore, we give a generalization for one origin symmetric body of revolution and one body of revolution that does not need to be symmetric and restrict possible equality cases. The proof uses an operator theoretic approach together with the decomposition of spherical functions into isotypical components with respect to rotations around a fixed axis. |
| title | The local logarithmic Brunn-Minkowski inequality for bodies of revolution |
| topic | Metric Geometry Differential Geometry math.MG (Primary), math.DG (Secondary) |
| url | https://arxiv.org/abs/2602.17912 |