Total curvature of a complete minimal surface and the modified defect relation of a Fermat hypersurface for the Gauss map

Si Duc Quang, Nguyen Thi Quynh Chi

In this paper, we establish some modified defect relations for the Gauss map $g$ of a complete minimal surface $S\subset {\mathbb{R}}^m$ into ${\mathbb{P}}^n(\mathbb{C})(n=m-1)$ with onl…