The existence of harmonic maps from Finsler manifolds to Riemannian manifolds

被引：23

作者：

Mo, XH ^{[1
]}

Yang, YY

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

[2] Renmin Univ China, Dept Math, Beijing 100872, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2005年 / 48卷 / 01期

基金：

中国国家自然科学基金;

关键词：

harmonic map; Finsler manifold; existence;

D O I：

10.1360/03ys0338

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of harmonic maps from a Finsler manifold and study the characterisation of harmonic maps, in the spirit of Ishihara. Using heat equation method we show that any map from a compact Finsler manifold M to a compact Riemannian manifold with non-positive sectional curvature can be deformed into a harmonic map which has minimum energy in its homotopy class.

引用

页码：115 / 130

页数：16

共 13 条

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