On minimal surfaces bounded by two convex curves in parallel planes

被引：3
|
作者：
Traizet, Martin [1 ]
机构：
[1] Univ Tours, Lab Math & Phys Theor, F-37200 Tours, France
来源：
COMMENTARII MATHEMATICI HELVETICI | 2010年 / 85卷 / 01期
关键词：
Minimal surface with boundary; Robin function; concentration of curvature; CURVATURE; EMBEDDEDNESS; COMPACTNESS; STATIONARY;
D O I：
10.4171/CMH/187
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a compact minimal surface bounded by two closed convex curves in parallel planes close enough to each other must be topologically an annulus.
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页码：39 / 71
页数：33
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