Complex Hyperbolic Geometry

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William M. Goldman (Professor of Mathematics, Professor of Mathematics, University of Maryland, USA)

Complex Hyperbolic Geometry

William M. Goldman (Professor of Mathematics, Professor of Mathematics, University of Maryland, USA)

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English

Oxford University Press
01 January 1999

Series: Oxford Mathematical Monographs

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.

By: William M. Goldman (Professor of Mathematics Professor of Mathematics University of Maryland USA)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 241mm, Width: 160mm, Spine: 23mm
Weight: 1g
ISBN: 9780198537939
ISBN 10: 019853793X
Series: Oxford Mathematical Monographs
Pages: 336
Publication Date: 01 January 1999
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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