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Twistor Theory for Riemannian Symmetric Spaces: With Applications to Harmonic Maps of Riemann Surfaces (Lecture Notes in Mathematics #1424) (Paperback)

Twistor Theory for Riemannian Symmetric Spaces: With Applications to Harmonic Maps of Riemann Surfaces (Lecture Notes in Mathematics #1424) By Francis E. Burstall, John H. Rawnsley Cover Image
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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 B cklund 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.


Product Details
ISBN: 9783540526025
ISBN-10: 3540526021
Publisher: Springer
Publication Date: May 22nd, 1990
Pages: 110
Language: English
Series: Lecture Notes in Mathematics