On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866916406545612800 |
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| author | Mikes, Josef Stepanov, Sergey Tsyganok, Irina |
| author_facet | Mikes, Josef Stepanov, Sergey Tsyganok, Irina |
| contents | This paper establishes the conditions under which minimal and stable minimal hypersurfaces are characterized as hyperplanes in Euclidean spaces and as totally geodesic submanifolds in Riemannian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04426 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds Mikes, Josef Stepanov, Sergey Tsyganok, Irina Differential Geometry This paper establishes the conditions under which minimal and stable minimal hypersurfaces are characterized as hyperplanes in Euclidean spaces and as totally geodesic submanifolds in Riemannian manifolds. |
| title | On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2409.04426 |