Twistor fibrations over Hermitian symmetric spaces and harmonic maps
type: Item
instance of: scholarly article
title: Twistor fibrations over Hermitian symmetric spaces and harmonic maps
zbMATH Open document ID: 1162.31006
author: Peter Quast
published in: Differential Geometry and its Applications
publication date: 2009-02-20T00:00:00Z
review text: The main theorem of the paper under review provides the construction of a certain holomorphic map from a twistor space of a given Hermitian symmetric space of compact type onto a twistor space of an inner symmetric space of compact type. The map referred to in the statement also preserves the superhorizontal distributions. The construction relies on the notion of a canonical element in a simple Lie algebra, as introduced by [\textit{F. E. Burstall} and \textit{J. H. Rawnsley}, Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces. Lecture Notes in Mathematics, 1424. (Berlin) etc.: Springer-Verlag. (1990; Zbl 0699.53059)]. Then the theorem is applied in order to construct isotropic harmonic maps from Riemann surfaces into inner symmetric spaces.
reviewed by: Daniel Beltiţă
Mathematics Subject Classification ID: 31C10
Mathematics Subject Classification ID: 53C28
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 5509717
zbMATH Keywords: twistor theory
zbMATH Keywords: Hermitian symmetric space
zbMATH Keywords: harmonic map
MaRDI profile type: Publication
Wikidata QID: Q115357498
full work available at URL: j.difgeo.2008.06.001
OpenAlex ID: W2044193146
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DOI: 10.1016/J.DIFGEO.2008.06.001
description: scientific article; zbMATH DE number 5509717