1st Edition

Harmonic Maps Into Homogeneous Spaces

By Malcolm Black Copyright 1991
    104 Pages
    by Chapman & Hall

    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.

    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

    Biography

    Malcolm Black