In this paper we study holomorphic maps between almost Hermitian manifolds. We obtain a new criterion for the harmonicity of such holomorphic maps, and we deduce some applications to horizontally conformal holomorphic submersions.

Keywords:

almost Hermitian manifolds, harmonic maps, harmonic morphism almost Hermitian manifolds, harmonic maps, harmonic morphism

MSC Classifications:

53C15, 58E20 show english descriptions General geometric structures on manifolds (almost complex, almost product structures, etc.)
Harmonic maps [See also 53C43], etc. 53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
58E20 - Harmonic maps [See also 53C43], etc.

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