On holomorphic harmonic morphisms
type: Item
instance of: scholarly article
title: On holomorphic harmonic morphisms
zbMATH Open document ID: 0999.58010
author: Martin Svensson
published in: Manuscripta Mathematica
publication date: 2002-05-29T00:00:00Z
review text: Holomorphic harmonic morphisms from Kähler manifolds to almost Hermitian manifolds are investigated. When the codomain is also a Kähler manifold, restrictions are obtained of such maps in the case of constant holomorphic curvature. Further is proved a Bochner-type formula for holomorphic harmonic morphisms. This gives insight -- under certain curvature restrictions on the domain, to the structure of the vertical distribution; in this respect, the author proves that when the domain is compact and non-negatively curved, the vertical distribution is totally geodesic.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C43
zbMATH DE Number: 1747300
zbMATH Keywords: holomorphic harmonic morphism
zbMATH Keywords: Kähler manifold
zbMATH Keywords: almost Hermitian manifold
zbMATH Keywords: holomorphic curvature
MaRDI profile type: Publication
full work available at URL: s002290100210
OpenAlex ID: W2021276393
DOI: 10.1007/S002290100210
description: scientific article; zbMATH DE number 1747300