Ancient mean curvature flows from minimal hypersurfaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908823615176704 |
|---|---|
| author | Han, Yongheng |
| author_facet | Han, Yongheng |
| contents | For $n\geq 2$, we construct $I$-dimensional family of embedded ancient solutions to mean curvature flow arise from an unstable minimal hypersurface $Σ$ with finite total curvature in $\mathbb{R}^{n+1}$, where $I$ is the Morse index of the Jacobi operator on $Σ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15278 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ancient mean curvature flows from minimal hypersurfaces Han, Yongheng Differential Geometry 53E10 For $n\geq 2$, we construct $I$-dimensional family of embedded ancient solutions to mean curvature flow arise from an unstable minimal hypersurface $Σ$ with finite total curvature in $\mathbb{R}^{n+1}$, where $I$ is the Morse index of the Jacobi operator on $Σ$. |
| title | Ancient mean curvature flows from minimal hypersurfaces |
| topic | Differential Geometry 53E10 |
| url | https://arxiv.org/abs/2311.15278 |