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On harmonic maps from stochastically complete manifolds
被引：0
作者：
Alireza Ranjbar-Motlagh
机构：
[1] Sharif University of Technology,Department of Mathematical Sciences
来源：
Archiv der Mathematik
|
2009年
/
92卷
关键词：
Primary 53C43, 58E20;
Secondary 53C42, 60H30;
Harmonic maps;
stochastically complete manifolds;
minimal submanifolds;
generalized maximum principle;
Laplace-Beltrami operator;
heat kernel;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The main purpose of this article is to generalize a theorem about the size of minimal submanifolds in Euclidean spaces. In fact, we state and prove a non-existence theorem about harmonic maps from a stochastically complete manifold into a cone type domain. The proof is based on a generalized version of the maximum principle applied to the Lapalace-Beltrami operator on Riemannian manifolds.
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页码：637 / 644
页数：7
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