The existence of harmonic maps from Finsler manifolds to Riemannian manifolds

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作者：

MO Xiaohuan YANG YunyanLMAMSchool of Mathematical SciencesPeking UniversityBeijing ChinaDepartment of MathematicsRenmin University of ChinaBeijing China ^{[1
,21
,100871
,2
,100872
]}

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来源：

Science in China,Ser.A. | 2005年 / Ser.A.2005卷 / 01期

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摘要：

<正>In this paper,we consider the existence of harmonic maps from a Finsler man-ifold and study the characterisation of harmonic maps,in the spirit of lshihara.Using heatequation method we show that any map from a compact Finsler manifold M to a com-pact Riemannian manifold with non-positive sectional curvature can be deformed into aharmonic map which has minimum energy in its homotopy class.

引用

页数：16

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