A note on the classification of holomorphic harmonic morphisms
type: Item
instance of: scholarly article
title: A note on the classification of holomorphic harmonic morphisms
zbMATH Open document ID: 0783.58015
DOI: 10.1007/BF01048512
author: Sigmundur Gudmundsson
author: Ragnar Sigurdsson
published in: Potential Analysis
publication date: 1994-03-20T00:00:00Z
review text: The authors classify those holomorphic maps \(\varphi:U \to \mathbb{C}^ n\) defined on an open subset \(U \subset \mathbb{C}^ m\), which are harmonic morphisms. If \(n>1\) then \(\varphi\) is such a morphism iff it is an orthogonal projection followed by a homothety.
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 58C10
Mathematics Subject Classification ID: 32A10
zbMATH DE Number: 427952
zbMATH Keywords: holomorphic map
zbMATH Keywords: harmonic morphisms
reviewed by: J. Eells
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 427952