Harmonic Maps Into Homogeneous Spaces

ISBN-13: 9780582087651 / Angielski / Twarda / 1991 / 104 str.

M. Black; Malcolm Black

Opis

Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces. In particular, twistor methods construct some, and in certain cases all, such mappings from holomorphic data.

Spis treści

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

O autorze

Malcolm Black