The existence of harmonic maps from Finsler manifolds of Riemannian manifolds 被引量：8

The existence of harmonic maps from Finsler manifolds to Riemannian manifolds

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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 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. 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.

作者 MO Xiaohuan YANG Yunyan

机构地区 LMAM

出处《Science China Mathematics》 SCIE 2005年第1期115-130,共16页 中国科学：数学（英文版）

基金 supported by the National Natural Science Foundation of China(Grant No.10171002).

关键词 HARMONIC map Finsler manifold existence. harmonic map Finsler manifold existence

分类号 N [自然科学总论]

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同被引文献18

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The existence of harmonic maps from Finsler manifolds of Riemannian manifolds 被引量：8

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