Harmonic Maps Into Homogeneous Spaces

by Malcolm Black

Overview

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.

Product Details

ISBN-13:	9780582087651
Publisher:	Taylor & Francis
Publication date:	09/02/1991
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series , #255
Pages:	104
Product dimensions:	7.00(w) x 10.00(h) x (d)

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