Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds
type: Item
instance of: scholarly article
title: Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds
zbMATH Open document ID: 0694.58010
DOI: 10.1007/BF02571268
author: Yoshihiro Ohnita
author: Seiichi Udagawa
published in: Mathematische Zeitschrift
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174200
review text: A smooth map f from a complex manifold M to a Riemannian manifold N is called pluriharmonic if, for each holomorphic curve i: \(C\to M\), \(f\circ i\) is always harmonic. In this paper we investigate holomorphicity and constancy of pluriharmonic maps and stable harmonic maps from compact Kähler manifolds into Hermitian symmetric spaces of compact type and positively curved Riemannian manifolds. Moreover, we give the construction of \(non\pm holomorphic\), pluriharmonic maps into complex Grassmann manifolds by means of the idea of twistor construction due to Eells and Wood.
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 32L25
zbMATH DE Number: 4137040
zbMATH Keywords: pluriharmonic map
zbMATH Keywords: stability of harmonic maps
zbMATH Keywords: Kaehler manifold
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4137040