Modified defect relations of the Gauss map of a complete minimal surface on annular ends

2020/97/3-4 (1) — DOI: 10.5486/PMD.2020.8655 — pp. 265-287

Authors: Pham Hoang Ha and Nguyen Hoang Trang

Abstract:

In this article, we study the modified defect relations of the Gauss map of complete minimal surfaces in $\mathbb{R}^m(m\geq 3)$ on annular ends.

Keywords: minimal surface, Gauss map, defect relation, value distribution theory

Mathematics Subject Classification: 53A10, 32H30, 53C42, 30D35