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The existence of harmonic maps from Finsler manifolds to Riemannian manifolds
Authors:Xiaohuan?Mo  author-information"  >  author-information__contact u-icon-before"  >  mailto:moxh@pku.edu.cn"   title="  moxh@pku.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Yunyan?Yang
Affiliation:(1) LMAM, School of Mathematical Sciences, Peking University, 100871 Beijing, China;(2) Department of Mathematics, Renmin University of China, 100872 Beijing, China
Abstract: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.
Keywords:harmonic map  Finsler manifold  existence
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