Complete properly embedded minimal surfaces in R3

被引：11
|
作者：
Colding, TH
Minicozzi, WP
机构：
[1] Courant Inst Math Sci, New York, NY 10012 USA
[2] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA
来源：
DUKE MATHEMATICAL JOURNAL | 2001年 / 107卷 / 02期
关键词：
D O I：
10.1215/S0012-7094-01-10726-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this short paper we apply estimates and ideas from [CM4] to study the ends of a properly embedded complete minimal surface Sigma (2) subset of R-3 with finite topology. The main result is that any complete properly embedded minimal annulus that lies above a sufficiently narrow downward sloping cone must have finite total curvature.
引用
收藏
页码：421 / 426
页数：6
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