Twistor Theory for Riemannian Symmetric Spaces With Applications to
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 manifol
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1424 Francis E. Burstall John H. Rawnsley
Twistor Theory for Riemannian Symmetric Spaces With Applications to Harmonic Maps of Riemann Surfaces
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong
Authors Francis E. Burstall School of Mathematical Sciences University of Bath Bath BA2 7AY, Great Britain John H. Rawnsley Mathematics Institute University of Warwick Coventry CV4 7AL, Great Britain
Mathematics Subject Classification (1980): Primary: 58E20, 53C30, 53C35, 53C55 Secondary: 83C60 ISBN 3-540-52602-1 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-52602-1 Springer-Verlag New York Berlin Heidelberg
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© Springer-Verlag Berlin Heidelberg 1990 Printing and binding : Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140·543210 - Printed on acid-free paper
Table of Contents
Introduction ............................................................................................................................................................. 1 Chapter 1. Homogeneous Geometry ................................. ............... .............................................................. 6 Chapter 2. Harmonic Maps and Twistor Spaces ....................................................................................... 15 Chapter 3. Symmetric Spaces ........................................................................................................................... 22 Chapter 4. Flag Manifolds ................................................................................................................................. 39 Chapter 5. The Twistor Space of a Riemannian Symmetric Space .................................................... 63 Chapter 6. Twistor Lifts over Riemannian Symmetric Spaces ....................................... ...................... 71 Chapter 7. Stable Harmonic 2-spheres .......................................................................................................... 81 Chapter 8. Factorisation of Harmonic Spheres in Lie Groups ............................................................. 90 References ............................................................................................................................................................... 106 Index ................................................ .......................................................................................................................... III
Introduction Background The subject of this mo
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