Harmonic morphisms between almost Hermitian manifolds
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.dg-ga/9512008,
title = {Harmonic morphisms between almost Hermitian manifolds},
author = {S. Gudmundsson and J. C. Wood},
journal= {arXiv preprint arXiv:dg-ga/9512008},
year = {2008}
}