Twistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces /

Twistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces /

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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 Bäcklund 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.

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Bibliographic Details
Main Authors: Burstall, Francis E. author., Rawnsley, John H. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990
Subjects:Mathematics., Topological groups., Lie groups., Fourier analysis., Differential geometry., Differential Geometry., Topological Groups, Lie Groups., Fourier Analysis.,
Online Access:http://dx.doi.org/10.1007/BFb0095561
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id KOHA-OAI-TEST:191627
record_format koha
spelling KOHA-OAI-TEST:1916272018-07-30T23:16:17ZTwistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces / Burstall, Francis E. author. Rawnsley, John H. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1990.engIn 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 Bäcklund 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.Homogeneous geometry -- Harmonic maps and twistor spaces -- Symmetric spaces -- Flag manifolds -- The twistor space of a Riemannian symmetric space -- Twistor lifts over Riemannian symmetric spaces -- Stable Harmonic 2-spheres -- Factorisation of harmonic spheres in Lie groups.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 Bäcklund 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.Mathematics.Topological groups.Lie groups.Fourier analysis.Differential geometry.Mathematics.Differential Geometry.Topological Groups, Lie Groups.Fourier Analysis.Springer eBookshttp://dx.doi.org/10.1007/BFb0095561URN:ISBN:9783540470526
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Topological groups.
Lie groups.
Fourier analysis.
Differential geometry.
Mathematics.
Differential Geometry.
Topological Groups, Lie Groups.
Fourier Analysis.
Mathematics.
Topological groups.
Lie groups.
Fourier analysis.
Differential geometry.
Mathematics.
Differential Geometry.
Topological Groups, Lie Groups.
Fourier Analysis.
spellingShingle Mathematics.
Topological groups.
Lie groups.
Fourier analysis.
Differential geometry.
Mathematics.
Differential Geometry.
Topological Groups, Lie Groups.
Fourier Analysis.
Mathematics.
Topological groups.
Lie groups.
Fourier analysis.
Differential geometry.
Mathematics.
Differential Geometry.
Topological Groups, Lie Groups.
Fourier Analysis.
Burstall, Francis E. author.
Rawnsley, John H. author.
SpringerLink (Online service)
Twistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces /
description 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 Bäcklund 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.
format Texto
topic_facet Mathematics.
Topological groups.
Lie groups.
Fourier analysis.
Differential geometry.
Mathematics.
Differential Geometry.
Topological Groups, Lie Groups.
Fourier Analysis.
author Burstall, Francis E. author.
Rawnsley, John H. author.
SpringerLink (Online service)
author_facet Burstall, Francis E. author.
Rawnsley, John H. author.
SpringerLink (Online service)
author_sort Burstall, Francis E. author.
title Twistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces /
title_short Twistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces /
title_full Twistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces /
title_fullStr Twistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces /
title_full_unstemmed Twistor Theory for Riemannian Symmetric Spaces [electronic resource] : With Applications to Harmonic Maps of Riemann Surfaces /
title_sort twistor theory for riemannian symmetric spaces [electronic resource] : with applications to harmonic maps of riemann surfaces /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
publishDate 1990
url http://dx.doi.org/10.1007/BFb0095561
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AT rawnsleyjohnhauthor twistortheoryforriemanniansymmetricspaceselectronicresourcewithapplicationstoharmonicmapsofriemannsurfaces
AT springerlinkonlineservice twistortheoryforriemanniansymmetricspaceselectronicresourcewithapplicationstoharmonicmapsofriemannsurfaces
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