On the conjectured capillary Blaschke-Santaló inequality
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918150362103808 |
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| author | Cabezas-Moreno, Carlos Hu, Yingxiang Ivaki, Mohammad N. |
| author_facet | Cabezas-Moreno, Carlos Hu, Yingxiang Ivaki, Mohammad N. |
| contents | We prove that the conjectured capillary Blaschke-Santaló inequality holds for any unconditional, strictly convex capillary hypersurface when $θ\in \left(0, \tfracπ{2}\right)$. Moreover, for $θ\in \left(\tfracπ{2}, π\right)$, we show that the capillary volume product has no finite upper bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20257 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the conjectured capillary Blaschke-Santaló inequality Cabezas-Moreno, Carlos Hu, Yingxiang Ivaki, Mohammad N. Differential Geometry Functional Analysis Metric Geometry We prove that the conjectured capillary Blaschke-Santaló inequality holds for any unconditional, strictly convex capillary hypersurface when $θ\in \left(0, \tfracπ{2}\right)$. Moreover, for $θ\in \left(\tfracπ{2}, π\right)$, we show that the capillary volume product has no finite upper bound. |
| title | On the conjectured capillary Blaschke-Santaló inequality |
| topic | Differential Geometry Functional Analysis Metric Geometry |
| url | https://arxiv.org/abs/2509.20257 |