Harmonic maps on weighted Riemannian foliations

Published 12 Dec 2022 in math.DG | (2212.05639v2)

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

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