Hardcover. 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. Thisbook 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 spacesand discrete groups, it is designed to provide an introduction to this fascinating and important area and invite further research and development. 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. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Complex Hyperbolic Geometry (Hardcover)
Publisher: Oxford University Press, 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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