Non-integrated defect relations for the Gauss maps of complete minimal surfaces with finite total curvature

摘要

In this article, we give the non-integrated defect relations in the sense of Fujimoto for the Gauss maps of complete minimal surfaces with finite total curvature in R-3, R-4. These are some strict improvements of previous results for the ramifications and modified defect relations of the Gauss maps of complete minimal surfaces with finite total curvature. (C) 2015 Elsevier Inc. All rights reserved.