Non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in $\mathbb R^m$

Pham Hoang Ha

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arXiv · 1710.02023

Non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in $\mathbb R^m$

Pham Hoang Ha

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Abstract

In this article, we give the non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in $\mathbb R^m.$ This is a continuation of previous work of Ha-Trao [J. Math. Anal. Appl., \textbf{430} (2015), 76-84.], which we extend here to targets of higher dimension.

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BibTeX RIS

Pham Hoang Ha. 2017-10-04. Non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in $\mathbb R^m$. https://arxiv.org/abs/1710.02023

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