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＜電子ブック＞
Twistor Theory for Riemannian Symmetric Spaces : With Applications to Harmonic Maps of Riemann Surfaces / by Francis E. Burstall, John H. Rawnsley
(Lecture Notes in Mathematics. ISSN:16179692 ; 1424)

版	1st ed. 1990.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1990
本文言語	英語
大きさ	110 p : online resource
冊子体	Twistor theory for Riemannian symmetric spaces : with applications to harmonic maps of Riemann surfaces / Francis E. Burstall, John H. Rawnsley ; : gw,: us
著者標目	*Burstall, Francis E author Rawnsley, John H author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Topological groups LCSH:Lie groups LCSH:Fourier analysis FREE:Differential Geometry FREE:Topological Groups and Lie Groups FREE:Fourier Analysis
一般注記	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 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0095561

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