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arxiv: dg-ga/9512008 · v1 · submitted 1995-12-18 · dg-ga · math.DG

Harmonic morphisms between almost Hermitian manifolds

classification dg-ga math.DG
keywords hermitianalmostconditionscosymplecticharmonicholomorphicimagemanifolds
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We obtain conditions on the Lee form under which a holomorphic map between almost Hermitian manifolds is a harmonic map or morphism. Then we discuss under what conditions (i) the image of a holomorphic map from a cosymplectic manifold is also cosymplectic, (ii) a holomophic map with Hermitian image defines a Hermitian structure on its domain.

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