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.

引用

页码：39 / 71

页数：33

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