The existence of harmonic maps from Finsler manifolds to Riemannian manifolds

被引：0

作者：

Xiaohuan Mo

Yunyan Yang

机构：

[1] Peking University,LMAM, School of Mathematical Sciences

[2] Renmin University of China,Department of Mathematics

来源：

Science in China Series A: Mathematics | 2005年 / 48卷

关键词：

harmonic map; Finsler manifold; existence;

D O I：

暂无

中图分类号：

学科分类号：

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：15

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