The rigidity theorem for complete Lagrangian self-shrinkers
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913593735249920 |
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| author | Li, Zhi Wang, Ruixin Wei, Guoxin |
| author_facet | Li, Zhi Wang, Ruixin Wei, Guoxin |
| contents | In this paper, we obtain a rigidity result of $2$-dimensional complete lagrangian self-shrinkers with constant squared norm $|\vec{H}|^{2}$ of the mean curvature vector in the Euclidean space $\mathbb{R}^{4}$. The same idea is also used to give a similar result of Lagrangian $ξ$-submanifolds in $\mathbb{R}^{4}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01162 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The rigidity theorem for complete Lagrangian self-shrinkers Li, Zhi Wang, Ruixin Wei, Guoxin Differential Geometry In this paper, we obtain a rigidity result of $2$-dimensional complete lagrangian self-shrinkers with constant squared norm $|\vec{H}|^{2}$ of the mean curvature vector in the Euclidean space $\mathbb{R}^{4}$. The same idea is also used to give a similar result of Lagrangian $ξ$-submanifolds in $\mathbb{R}^{4}$. |
| title | The rigidity theorem for complete Lagrangian self-shrinkers |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.01162 |