A Note on a Unicity Theorem for the Gauss Maps of Complete Minimal Surfaces in Euclidean Four-space

被引：3

作者：

Pham Hoang Ha ^{[1
]}

Kawakami, Yu ^{[2
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 XuanThuy Str, Hanoi, Vietnam

[2] Kanazawa Univ, Fac Math & Phys, Inst Sci & Engn, Kanazawa, Ishikawa 9201192, Japan

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2018年 / 61卷 / 02期

基金：

日本学术振兴会;

关键词：

minimal surface; Gauss map; unicity theorem; VALUES;

D O I：

10.4153/CMB-2017-015-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 to each other. In this paper, we give a similar uniqueness theorem for the Gauss maps of complete minimal surfaces in Euclidean four-space.

引用

页码：292 / 300

页数：9

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