Twistor Theory for Riemannian Symmetric Spaces : With Applications to Harmonic Maps of Riemann Surfaces PDF
by Francis E. Burstall, John H. Rawnsley
Part of the Lecture Notes in Mathematics series
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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 Backlund 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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- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/11/2006
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- ISBN:9783540470526
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/11/2006
- Category:
- ISBN:9783540470526
