Harmonic morphisms between almost Hermitian manifolds

1995/12/18 by Sigmundur Gudmundsson, Jonathan Wood, Gudmundsson, S. +1 · 2 citations
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.dg-ga/9512008

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.

Cited by

• Harmonic morphisms with one-dimensional fibres on Einstein manifolds
• Conformal anti-invariant ξ^⊥-submersions

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• Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds
• Holomorphic Riemannian maps
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