Classification of Lagrangian translators and Lagrangian self-expanders in $\mathbb{C}^{2}$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909209191251968 |
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| author | Li, Zhi Wei, Guoxin |
| author_facet | Li, Zhi Wei, Guoxin |
| contents | In this paper, we obtain several classification results of $2$-dimensional complete Lagrangian translators and lagrangian self-expanders with constant squared norm $|\vec{H}|^{2}$ of the mean curvature vector in $\mathbb{C}^{2}$ by using a new Omori-Yau type maximum principle which was proved by Chen and Qiu \cite{CQ}. The same idea is also used to give a similar result of Lagrangian $ξ$-translators in $\mathbb{C}^{2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14086 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of Lagrangian translators and Lagrangian self-expanders in $\mathbb{C}^{2}$ Li, Zhi Wei, Guoxin Differential Geometry In this paper, we obtain several classification results of $2$-dimensional complete Lagrangian translators and lagrangian self-expanders with constant squared norm $|\vec{H}|^{2}$ of the mean curvature vector in $\mathbb{C}^{2}$ by using a new Omori-Yau type maximum principle which was proved by Chen and Qiu \cite{CQ}. The same idea is also used to give a similar result of Lagrangian $ξ$-translators in $\mathbb{C}^{2}$. |
| title | Classification of Lagrangian translators and Lagrangian self-expanders in $\mathbb{C}^{2}$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2405.14086 |