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Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces /

In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Ri...

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Bibliographic Details
Main Author: Burstall, Francis E., 1956-
Corporate Author: SpringerLink (Online service)
Other Authors: Rawnsley, John H. (John Howard), 1947-
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1990]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1424.
Subjects:
Harmonic maps.
Twistor theory.
Symmetric spaces.
Manifolds (Mathematics)
Applications harmoniques.
Torseurs, Théorie des.
Espaces symétriques.
Variétés (Mathématiques)
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds.
Item Description:Electronic resource.
Physical Description:1 online resource (112 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages 108-110) and index.
ISBN:9783540470526 (electronic bk.)
3540470522 (electronic bk.)
ISSN:0075-8434 ;