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.
Francis E. Burstall & John H. Rawnsley
Twistor Theory for Riemannian Symmetric Spaces [PDF ebook]
With Applications to Harmonic Maps of Riemann Surfaces
Twistor Theory for Riemannian Symmetric Spaces [PDF ebook]
With Applications to Harmonic Maps of Riemann Surfaces
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语言 英语 ● 格式 PDF ● ISBN 9783540470526 ● 出版者 Springer Berlin Heidelberg ● 发布时间 2006 ● 下载 3 时 ● 货币 EUR ● ID 6319123 ● 复制保护 Adobe DRM
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