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

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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Published in:arXiv.org 2024-01
Main Author: Dinh Tuan Huynh
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Language:English
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Hyperspaces
Minimal surfaces
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description 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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subjects Hyperspaces
Minimal surfaces
title On the Gauss maps of complete minimal surfaces in \(\mathbb{R}^n\)
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