Twistor Theory for Riemannian Symmetric Spaces: With Applications to Harmonic Maps of Riemann Surfaces (Lecture Notes in Mathematics) (Lecture Notes in Mathematics, 1424, Band 1424) - Softcover

Burstall, Francis E.

 
9783540526025: Twistor Theory for Riemannian Symmetric Spaces: With Applications to Harmonic Maps of Riemann Surfaces (Lecture Notes in Mathematics) (Lecture Notes in Mathematics, 1424, Band 1424)
Softcover
ISBN 10: 3540526021 ISBN 13: 9783540526025
Verlag: Springer, 1990

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
1990
Sprache
Englisch
ISBN 10 
3540526021
ISBN 13 
9783540526025
Einband
Taschenbuch
Anzahl der Seiten
116
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