Harmonic maps on weighted Riemannian foliations

On foliations, there are two kinds of harmonic maps, that is, transversally harmonic map and $(F,F^{\mathrm{\prime }})$-harmonic map which are equivalent when the foliation is minimal. In this paper, we study transversally f-harmonic and $(F,F^{\mathrm{\prime }}{)}_f$-harmonic maps on weighted foliations.