Complex hyperbolic geometry is a particularly rich area of study, enhanced by the confluence of several areas of research including Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group theory, and harmonic analysis. The boundary of complex hyperbolic geometry, known as spherical CR or Heisenberg geometry, is equally rich, and although there exist accounts of analysis in such spaces there is currently no account of their geometry. This book redresses the balance and provides an overview of the geometry of both the 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.
| ISBN: | 9780198537939 |
| Publication date: | 18th February 1999 |
| Author: | William M Professor of Mathematics, Professor of Mathematics, University of Maryland, USA Goldman |
| Publisher: | Clarendon Press an imprint of Oxford University Press |
| Format: | Hardback |
| Pagination: | 336 pages |
| Series: | Oxford Mathematical Monographs |
| Genres: |
Differential and Riemannian geometry Non-Euclidean geometry Analytic geometry |