On Transversally Holomorphic Maps of Kählerian Foliations

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Abstract

Any transversally holomorphic foliated map ϕ: (M,ℱ)→ (M′, ℱ′) of Kählerian foliations with ℱ harmonic, is shown to be a transversally harmonic map and an absolute minimum of the energy functional ET ϕ) = ½ ∫M ∥dTϕ∥2 μ in its foliated homotopy class.

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