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OverviewComplex 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 DetailsAuthor: 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: 9780198537939ISBN 10: 019853793 Pages: 336 Publication Date: 18 February 1999 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  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 Contents1: 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 IndexReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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