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Modified defect relations of the Gauss map and the total curvature of a complete minimal surface
Pham Hoang Ha
In this article, we propose some conditions on the modified defect relations of the Gauss map of a complete minimal surface to show that has finite total curvature.
A note on a unicity theorem for the Gauss maps of complete minimal surfaces in Euclidean four-space
Pham Hoang Ha, Yu Kawakami
The classical result of Nevanlinna states that two nonconstant meromorphic functions on the complex plane having the same images for five distinct values must be identically equal…
Ramification of the Gauss map of complete minimal surfaces in R^m on annular ends
Gerd Dethloff, Pham Hoang Ha, Pham Duc Thoan
In this article, we study the ramification of the Gauss map of complete minimal surfaces in R^m on annular ends. This work is a continuation of previous work of Dethloff-Ha. We thu…
Modified defect relations of the Gauss map of complete minimal surfaces on annular ends
Pham Hoang Ha, Nguyen Hoang Trang
In this article, we study the modified defect relations of the Gauss map of complete minimal surfaces in and on annular ends. We obtain results which a…