Harmonic Maps Into Homogeneous Spaces

1. Auflage 1991
ISBN: 978-0-582-08765-1
Verlag: Taylor & Francis Ltd

Buch, Englisch, 104 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 199 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

Autoren/Hrsg.

Black, Malcolm

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

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