Complex Hyperbolic Geometry

Complex Hyperbolic Geometry

by William Mark Goldman
     
 

ISBN-10: 019853793X

ISBN-13: 9780198537939

Pub. Date: 02/28/1999

Publisher: Oxford University Press, USA

Complex hyperbolic geometry is a particularly rich field, drawing on Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group theory, and harmonic analysis. The boundary in complex hyperbolic spaces, known as spherical CR or Heisenberg geometry, reflects this richness. However, while there are a number of books on analysis in such spaces,

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Overview

Complex hyperbolic geometry is a particularly rich field, drawing on Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group theory, and harmonic analysis. The boundary in complex hyperbolic spaces, known as spherical CR or Heisenberg geometry, reflects this richness. However, while there are a number of books on analysis in such spaces, this book is the first to focus on the geometry, both for complex hyperbolic space and its boundary. Motivated by applications of the theory to geometric structures, moduli spaces and discrete groups, it is designed to provide an introduction to this fascinating and important area and invite further research and development.

Product Details

ISBN-13:
9780198537939
Publisher:
Oxford University Press, USA
Publication date:
02/28/1999
Series:
Oxford Mathematical Monographs
Edition description:
New Edition
Pages:
336
Product dimensions:
6.10(w) x 9.10(h) x 0.90(d)

Table of Contents

1. The complex projective line
2. Algebraic and geometric background
3. The ball model
4. The paraboloid model and Heisenberg geometry
5. Bisectors and spinal spheres
6. Automorphisms
7. Numerical invariants
8. Extors in projective space
9
Bibliography
Appendix
Index

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