Some estimates on stable minimal hypersurfaces in Euclidean space
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910615640997888 |
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| author | Tam, Luen-Fai |
| author_facet | Tam, Luen-Fai |
| contents | We derive some estimates for stable minimal hypersurfaces in $R^{n+1}$. The estimates are related to recent proofs of Bernstein theorems for complete stable minimal hypersurfaces in $R^{n+1}$ for $3\le n\le 5$ by Chodosh-Li, Chodosh-Li-Minter-Stryker and Mazet. In particular, the estimates indicate that the methods in their proofs may not work for $n=6$, which is observed also by Antonelli-Xu and Mazet. The method of derivation in this work might also be applied to other problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04947 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some estimates on stable minimal hypersurfaces in Euclidean space Tam, Luen-Fai Differential Geometry We derive some estimates for stable minimal hypersurfaces in $R^{n+1}$. The estimates are related to recent proofs of Bernstein theorems for complete stable minimal hypersurfaces in $R^{n+1}$ for $3\le n\le 5$ by Chodosh-Li, Chodosh-Li-Minter-Stryker and Mazet. In particular, the estimates indicate that the methods in their proofs may not work for $n=6$, which is observed also by Antonelli-Xu and Mazet. The method of derivation in this work might also be applied to other problems. |
| title | Some estimates on stable minimal hypersurfaces in Euclidean space |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2409.04947 |