Harmonic maps on weighted foliations

On foliations, there are two kinds of harmonic maps, that is, transversallyharmonic map and (F,F')-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally ƒ-harmonic and (F,F')_ƒ-harmonic maps on weightedfoliations. Moreover, we investigate the relations between transversal stress energy tensorsand tranversally ƒ-harmonic maps.