On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917730624471040 |
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| author | Huynh, Dinh Tuan |
| author_facet | Huynh, Dinh Tuan |
| contents | We prove that the Gauss map of a non-flat complete minimal surface immersed in $\mathbb{R}^n$ can omit a generic hypersurface $D$ of degree at most $
n^{n+2}(n+1)^{n+2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07195 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$ Huynh, Dinh Tuan Complex Variables Differential Geometry 53A10, 32H30 We prove that the Gauss map of a non-flat complete minimal surface immersed in $\mathbb{R}^n$ can omit a generic hypersurface $D$ of degree at most $ n^{n+2}(n+1)^{n+2}$. |
| title | On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$ |
| topic | Complex Variables Differential Geometry 53A10, 32H30 |
| url | https://arxiv.org/abs/2401.07195 |