Rigidity results for compact biconservative hypersurfaces in space forms
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914958577500160 |
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| author | Andronic, Ştefan Kayhan, Aykut |
| author_facet | Andronic, Ştefan Kayhan, Aykut |
| contents | In this paper we present alternative proofs for two known rigidity results concerning non-negatively curved compact biconservative hypersurfaces in space forms. Further, we prove some new rigidity results by replacing the hypothesis of non-negative sectional curvature with some estimates of the squared norm of the shape operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18617 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigidity results for compact biconservative hypersurfaces in space forms Andronic, Ştefan Kayhan, Aykut Differential Geometry Primary 53C42. Secondary 53C40 In this paper we present alternative proofs for two known rigidity results concerning non-negatively curved compact biconservative hypersurfaces in space forms. Further, we prove some new rigidity results by replacing the hypothesis of non-negative sectional curvature with some estimates of the squared norm of the shape operator. |
| title | Rigidity results for compact biconservative hypersurfaces in space forms |
| topic | Differential Geometry Primary 53C42. Secondary 53C40 |
| url | https://arxiv.org/abs/2409.18617 |