Resumen de Some properties of harmonic maps for Finsler manifolds

Qun He, Yibing Shen

• This paper is to study further some properties of harmonic maps between Finsler manifolds. Some rigidity theorems for harmonic maps between Finsler manifolds are given. By introducing the stress-energy tensor of maps between Finsler manifolds, some integral formulas are obtained. Moreover, it is proved that any conformal strongly harmonic map from an n(>2)-dimensional Finsler manifold to a Finsler manifold must be homothetic.