Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866908579369320448 |
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| author | Hu, Yingxiang Li, Haizhong |
| author_facet | Hu, Yingxiang Li, Haizhong |
| contents | In this paper, we prove a family of identities for closed and strictly convex hypersurfaces in the sphere and hyperbolic/de Sitter space. As applications, we prove Blaschke-Santaló type inequalities in the sphere and hyperbolic/de Sitter space, which generalizes the previous work of Gao, Hug and Schneider \cite{GHS03}. We also prove the quermassintegral inequalities in hyperbolic/de Sitter space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_04281 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms Hu, Yingxiang Li, Haizhong Differential Geometry 53C21, 53C24, 53C65 In this paper, we prove a family of identities for closed and strictly convex hypersurfaces in the sphere and hyperbolic/de Sitter space. As applications, we prove Blaschke-Santaló type inequalities in the sphere and hyperbolic/de Sitter space, which generalizes the previous work of Gao, Hug and Schneider \cite{GHS03}. We also prove the quermassintegral inequalities in hyperbolic/de Sitter space. |
| title | Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms |
| topic | Differential Geometry 53C21, 53C24, 53C65 |
| url | https://arxiv.org/abs/2207.04281 |