Pham Hoang Ha: Non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in $\mathbb{R}^m$, 187-199

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 (2015), which we extend here to targets of higher dimension.

Key Words: Minimal surface, Gauss map, Defect relation

2010 Mathematics Subject Classification: Primary 53A10; Secondary 53C42, 30D35, 32A22