Some rigidity theorems of harmonic maps between Finsler manifolds

This paper is to study further properties of harmonic maps between Finsler manifolds. It is proved that any conformal harmonic map from an n(> 2)-dimensional Finsler manifold to a Finsler manifold must be homothetic and some rigidity theorems for harmonic maps between Finsler manifolds are given, which improve some results in earlier papers and generalize Eells-Sampson's theorem and Sealey's theorem in Riemannian Geometry.