The geometry of complex hyperbolic space has not, so far, been given a comprehensive treatment in the literature. This book seeks to address this by providing an overview of this particularly rich area of research, and is largely motivated by the wide applications in other areas of mathematics and physics. Series: Oxford Mathematical Monographs. Num Pages: 336 pages, line drawings. BIC Classification: PBML; PBMP; PBMS. Category: (P) Professional & Vocational. Dimension: 239 x 164 x 27. Weight in Grams: 638. . 1999. Illustrated. hardcover. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Complex Hyperbolic Geometry (Oxford Mathematical Monographs)
Publisher: OUP Oxford
Publication Date: 1999
Language: English
ISBN 10: 019853793X
ISBN 13: 9780198537939
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

About the Author

William M. Goldman is at University of Maryland.

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