Applications of a completeness lemma in minimal surface theory to various classes of surfaces (vol 43, pg 191, 2011)

被引:6
|
作者
Umehara, Masaaki [1 ]
Yamada, Kotaro [2 ]
机构
[1] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan
[2] Tokyo Inst Technol, Dept Math, Tokyo 1528551, Japan
关键词
3-SPACE;
D O I
10.1112/blms/bds017
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper referred to in the title, we gave several applications of the completeness lemma used by Osserman to show the meromorphicity of Weierstrass data for complete minimal surfaces with finite total curvature. However, an error in the proof of Theorem A implies that there is an important remaining problem about constant mean curvature 1 surfaces in de Sitter 3-space. The purpose here is to correct the previous paper and discuss the remaining problem.
引用
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页码:617 / 618
页数:2
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