Harmonic Maps Into Homogeneous Spaces

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CRC Press, Sep 2, 1991 - Mathematics - 104 pages
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.
 

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Contents

INTRODUCTION
1
HOMOGENEOUS GEOMETRY
10
fSTRUCTURES AND FHOLOMORPHIC MAPS
24
EQUIHARMONIC MAPS
35
INTEGRABLE fHOLOMORPHIC ORBITS ON FLAGS
69
EQUIMINIMAL MAPS OF RIEMANN SURFACES
78
REFERENCES
90
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