Twistor Theory for Riemannian Symmetric Spaces - With Applications to Harmonic Maps of Riemann Surfaces (Paperback, 1990 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1424
Release date:	May 1990
First published:	1990
Authors:	Francis E Burstall • John H Rawnsley
Dimensions:	235 x 155 x 6mm (L x W x T)
Format:	Paperback
Pages:	110
Edition:	1990 ed.
ISBN-13:	978-3-540-52602-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	3-540-52602-1
Barcode:	9783540526025

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