Complex Hyperbolic Geometry

William M. Goldman

ISBN 10: 019853793X / ISBN 13: 9780198537939

Published by Oxford University Press, GB, 1999

About this Item

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.

Seller Inventory # LU-9780198537939

Bibliographic Details

• Title: Complex Hyperbolic Geometry
• Publisher: Oxford University Press, GB
• Publication Date: 1999
• Language: English
• ISBN 10: 019853793X
• ISBN 13: 9780198537939
• Binding: Hardback
• Condition: New
• Weight: 604 grams

About this title

Synopsis

This is the first comprehensive treatment of the geometry of complex hyperbolic space, a rich area of research with numerous connections to other branches of mathematics, including Riemannian geometry, complex analysis, symplectic and contact geometry, Lie groups, and harmonic analysis.

About the Author

William M. Goldman is at University of Maryland.