The existence of harmonic maps from Finsler manifolds of Riemannian manifolds

作     者：MO Xiaohuan YANG Yunyan 

作者机构：LMAMSchool of Mathematical SciencesPeking UniversityBeijing 100871China Department of MathematicsRenmin University of ChinaBeijing 100872China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2005年第48卷第1期

页      面：115-130页

核心收录：

学科分类：07[理学] 08[工学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.10171002) 

主　　题：harmonic map,Finsler manifold,existence. 

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 *** heat quation 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.