Harmonic Morphisms Between Almost Hermitian Manifolds

this paper we study this connection for more general almost Hermitian manifolds. We obtain conditions involving the Lee form under which holomorphic maps between almost Hermitian manifolds are harmonic maps or morphisms. We show that the image of certain holomorphic maps from a cosymplectic manifold is cosymplectic if and only if the map is a harmonic morphism, generalizing a result of Watson [23]. Finally, in Theorem 5.1 we give conditions under which Date: Dedicato alla memoria del professore Franco Tricerri. 1991 Mathematics Subject Classification. 58E20