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| Main Author: | |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1901.05840 |
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| _version_ | 1866910493671686144 |
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| author | Dey, Akashdeep |
| author_facet | Dey, Akashdeep |
| contents | Given a closed Riemannian manifold $(N^{n+1},g)$, $n+1 \geq 3$ we prove the compactness of the space of singular, minimal hypersurfaces in $N$ whose volumes are uniformly bounded from above and the $p$-th Jacobi eigenvalue $λ_p$'s are uniformly bounded from below. This generalizes the results of Sharp and Ambrozio-Carlotto-Sharp in higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_05840 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Compactness of certain class of singular minimal hypersurfaces Dey, Akashdeep Differential Geometry Given a closed Riemannian manifold $(N^{n+1},g)$, $n+1 \geq 3$ we prove the compactness of the space of singular, minimal hypersurfaces in $N$ whose volumes are uniformly bounded from above and the $p$-th Jacobi eigenvalue $λ_p$'s are uniformly bounded from below. This generalizes the results of Sharp and Ambrozio-Carlotto-Sharp in higher dimensions. |
| title | Compactness of certain class of singular minimal hypersurfaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1901.05840 |