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arXiv · 2401.07195

On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$

Dinh Tuan Huynh
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Abstract

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}$.

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Dinh Tuan Huynh. 2024-01-14. On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$. https://doi.org/10.2140/pjm.2024.330.157

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