On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety

Si Duc Quang; Do Thi Thuy Hang

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arXiv · 2211.06842

On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety

Si Duc Quang·Do Thi Thuy Hang

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Abstract

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.

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Si Duc Quang, Do Thi Thuy Hang. 2022-11-13. On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety. https://arxiv.org/abs/2211.06842

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