Complex-analyticity of harmonic maps
type: Item
instance of: scholarly article
zbMATH Open document ID: 1014.53037
author: Keisuke Ueno
publication date: 2003-06-29T00:00:00Z
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1665590
zbMATH Keywords: Kähler manifold
zbMATH Keywords: holomophic map
zbMATH Keywords: CR-map
zbMATH Keywords: ideal boundary
MaRDI profile type: Publication
title: Complex-analyticity of harmonic maps
review text: It is known that any holomorphic map between Kähler manifolds is a harmonic map. However, the converse holds only under some geometric conditions. In this paper, the author studies the converse problem of harmonic maps and proves the following main result: If a proper harmonic map, which has sufficiently high regularity up to the ideal boundary, between complex hyperbolic spaces is a nondegenerate CR-map at the boundary, then it must be a holomorphic map.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00035].
reviewed by: Krishan Lal Duggal
description: scientific article; zbMATH DE number 1665590