On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866929216362119168 |
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| author | Quang, Si Duc Hang, Do Thi Thuy |
| author_facet | Quang, Si Duc Hang, Do Thi Thuy |
| contents | In this article, we study the uniqueness problem for the generalized gauss maps of minimal surfaces (with the same base) immersed in $\mathbb R^{n+1}$ which have the same inverse image of some hypersurfaces in a projective subvariety $V\subset\mathbb P^n(\mathbb C)$. As we know, this is the first time the unicity of generalized gauss maps on minimal surfaces sharing hypersurfaces in a projective varieties is studied. Our results generalize and improve the previous results in this field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_06842 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety Quang, Si Duc Hang, Do Thi Thuy Differential Geometry In this article, we study the uniqueness problem for the generalized gauss maps of minimal surfaces (with the same base) immersed in $\mathbb R^{n+1}$ which have the same inverse image of some hypersurfaces in a projective subvariety $V\subset\mathbb P^n(\mathbb C)$. As we know, this is the first time the unicity of generalized gauss maps on minimal surfaces sharing hypersurfaces in a projective varieties is studied. Our results generalize and improve the previous results in this field. |
| title | On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2211.06842 |