Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916174485258240 |
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| author | Yan, Zetian |
| author_facet | Yan, Zetian |
| contents | We prove that a stable $C^{1,1}$-to-edge properly embedded free boundary minimal hypersurface $Σ^3$ of a $4$-dimensional wedge domain $Ω^4_θ$ with angle $θ\in (0,π]$ is flat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08005 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds Yan, Zetian Differential Geometry Primary 53A10, Secondary 49Q05, 49Q10, 58E12 We prove that a stable $C^{1,1}$-to-edge properly embedded free boundary minimal hypersurface $Σ^3$ of a $4$-dimensional wedge domain $Ω^4_θ$ with angle $θ\in (0,π]$ is flat. |
| title | Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds |
| topic | Differential Geometry Primary 53A10, Secondary 49Q05, 49Q10, 58E12 |
| url | https://arxiv.org/abs/2403.08005 |