Harmonic morphisms between almost Hermitian manifolds

Details Harmonic morphisms between almost Hermitian manifolds Harmonic morphisms between almost Hermitian manifolds

1995-12-18

arxiv.org/abs/dg-ga/9512008v1

Mathematics

Differential Geometry

Scientific paper

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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