Royden Decomposition for Harmonic Maps with Finite Total Energy

被引：1

作者：

Lee, Yong Hah ^{[1
]}

机构：

[1] Ewha Womans Univ, Dept Math Educ, Seoul 120750, South Korea

来源：

RESULTS IN MATHEMATICS | 2017年 / 71卷 / 3-4期

基金：

新加坡国家研究基金会;

关键词：

Harmonic map; harmonic boundary; Royden decomposition; MANIFOLDS; MAPPINGS;

D O I：

10.1007/s00025-015-0503-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the harmonic map version of the Royden decomposition in the sense that given any bounded C (1)-map f with finite total energy on a complete Riemannian manifold into a Cartan-Hadamard manifold, there exists a unique bounded harmonic map with finite total energy from the manifold into the Cartan-Hadamard manifold taking the same boundary value at each harmonic boundary point as that of f.

引用

页码：687 / 692

页数：6

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