Complex Hyperbolic Geometry
Author:   William M. Goldman (Professor of Mathematics, Professor of Mathematics, University of Maryland, USA)
Publisher:   Oxford University Press
ISBN:  

9780198537939


Pages:   336
Publication Date:   18 February 1999
Format:   Hardback
Availability:   To order   Availability explained
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Complex Hyperbolic Geometry


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Overview

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.

Full Product Details

Author:   William M. Goldman (Professor of Mathematics, Professor of Mathematics, University of Maryland, USA)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.00cm , Height: 2.30cm , Length: 24.10cm
Weight:   0.604kg
ISBN:  

9780198537939


ISBN 10:   019853793
Pages:   336
Publication Date:   18 February 1999
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

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: Intersections of bisectorsAppendixBibliographyIndex Appendix Bibliography Index

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