The Energy Density Gap of Harmonic Maps between Finsler Manifolds

Abstract EN

We study the energy density function of nondegenerate smooth maps with vanishing tension field between two real Finsler manifolds.

Firstly, we get a variation formula of energy density function by using moving frame.

With this formula, we obtain a rigidity theorem of nondegenerate map with vanishing tension field from the Finsler manifold to the Berwald manifold.