Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces /
Burstall, Francis E., 1956-
Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces / Francis E. Burstall, John H. Rawnsley. - Berlin ; New York : Springer-Verlag, ©1990. - 1 online resource (112 pages) - Lecture notes in mathematics, 1424 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1424. .
Includes bibliographical references (pages 108-110) and index.
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.
Use copy
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.
Electronic reproduction.
[Place of publication not identified] :
HathiTrust Digital Library,
2010.
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.
http://purl.oclc.org/DLF/benchrepro0212
9783540470526 3540470522
Harmonic maps.
Twistor theory.
Symmetric spaces.
Manifolds (Mathematics)
Applications harmoniques.
Théorie des torseurs.
Espaces symétriques.
Variétés (Mathématiques)
Espacios simétricos
Variedades (Matemáticas)
Aplicaciones armónicas
Harmonic maps
Manifolds (Mathematics)
Symmetric spaces
Twistor theory
Harmonic maps.
Twistor theory.
Symmetric spaces.
QA3 QA614.73 / .L28 no. 1424
515.53
516.147.3
Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces / Francis E. Burstall, John H. Rawnsley. - Berlin ; New York : Springer-Verlag, ©1990. - 1 online resource (112 pages) - Lecture notes in mathematics, 1424 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1424. .
Includes bibliographical references (pages 108-110) and index.
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.
Use copy
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.
Electronic reproduction.
[Place of publication not identified] :
HathiTrust Digital Library,
2010.
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.
http://purl.oclc.org/DLF/benchrepro0212
9783540470526 3540470522
Harmonic maps.
Twistor theory.
Symmetric spaces.
Manifolds (Mathematics)
Applications harmoniques.
Théorie des torseurs.
Espaces symétriques.
Variétés (Mathématiques)
Espacios simétricos
Variedades (Matemáticas)
Aplicaciones armónicas
Harmonic maps
Manifolds (Mathematics)
Symmetric spaces
Twistor theory
Harmonic maps.
Twistor theory.
Symmetric spaces.
QA3 QA614.73 / .L28 no. 1424
515.53
516.147.3