---

＜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
大きさ	110 p : online resource
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 HTTP:URL=https://doi.org/10.1007/BFb0095561

 類似資料