1st Edition

Harmonic Maps Into Homogeneous Spaces




ISBN 9780582087651
Published September 2, 1991 by Chapman and Hall/CRC
104 Pages

USD $200.00

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Book Description

This book is concerned with harmonic maps into homogeneous spaces and focuses upon maps of Riemann surfaces into flag manifolds, to bring results of 'twistor methods' for symmetric spaces into a unified framework by using the theory of compact Lie groups and complex differential geometry.

Table of Contents

1. Introduction 2. Homogeneous Geometry 3. f-Structures and f-Holomorphic Maps 4. f-Structures on Reductive Homogeneous Spaces 5. Equi-Harmonic Maps 6. Classification of Horizontal f-Structures on Flag Manifolds 7. Integrable f-Holomorphic Orbits on Flags 8. Equi-Minimal Maps of Riemann Surfaces to Full Flag Manifolds

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