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

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.

To appear in the Bull. Math. Soc. Sci. Math. Roumanie journal. arXiv admin note: substantial text overlap with arXiv:1411.2730