The Barrier Principle for Minimal Submanifolds of Arbitrary Codimension

被引：0
|
作者：
Luquésio P. Jorge
Friedrich Tomi
机构：
[1] Universidade Federal do Ceará,Departamento de Matemática
[2] Campus do Pici,Mathematisches Institut
[3] Universität Heidelberg,undefined
来源：
Annals of Global Analysis and Geometry | 2003年 / 24卷
关键词：
minimal surface; barrier principle; Plateau's problem;
D O I：
暂无
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学科分类号：
摘要：
We establish a barrier principle for minimal submanifolds of a Riemannianmanifold of arbitrary codimension. We construct examples of barriers fortwo-dimensional minimal surfaces in ℝn, n ≥ 4, and apply these to deduceexistence as well as nonexistence theorems for Plateau's problem.
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页码：261 / 267
页数：6
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