CONFORMAL F-HARMONIC MAPS FOR FINSLER MANIFOLDS

By introducing the I.-stress energy tensor of maps from an n-dimensional Finsler manifold to a Fins ler manifold and assuming that (n-2)F(t)'-2t.F(t)'' not equal 0 for any t is an element of [0, infinity), we prove that any conformal strongly F-harmonic map must be homothetic. This assertion generalizes the results by He and Shen for harmonics map and by Ara for the Riemannian case.