Complete space-like self-expanders in the Minkovski space
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916078040383488 |
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| author | Li, Zhi Wei, Guoxin |
| author_facet | Li, Zhi Wei, Guoxin |
| contents | It is our purpose to study complete space-like self-expanders in the Minkovski space. By use of maximum principle of Omori-Yau type, we can obtain the rigidity theorems on $n$-dimensional complete space-like self-expanders in the Minkovski space $\mathbb R^{n+1}_{1}$. For complete space-like self-expanders of dimension $2$, we give a classification of them under assumption of constant squared norm of the second fundamental form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00106 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Complete space-like self-expanders in the Minkovski space Li, Zhi Wei, Guoxin Differential Geometry It is our purpose to study complete space-like self-expanders in the Minkovski space. By use of maximum principle of Omori-Yau type, we can obtain the rigidity theorems on $n$-dimensional complete space-like self-expanders in the Minkovski space $\mathbb R^{n+1}_{1}$. For complete space-like self-expanders of dimension $2$, we give a classification of them under assumption of constant squared norm of the second fundamental form. |
| title | Complete space-like self-expanders in the Minkovski space |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2401.00106 |