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Complex Hyperbolic Geometry

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ISBN-10: 019853793X

ISBN-13: 9780198537939

Edition: 1999

Authors: William M. Goldman

List price: $290.00
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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.
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Book details

List price: $290.00
Copyright year: 1999
Publisher: Oxford University Press, Incorporated
Publication date: 4/15/1999
Binding: Hardcover
Pages: 336
Size: 6.30" wide x 9.49" long x 0.91" tall
Weight: 1.320
Language: English

The complex projective line
Algebraic and geometric background
The ball model
The paraboloid model and Heisenberg geometry
Bisectors and spinal spheres
Automorphisms
Numerical invariants
Extors in Projective Space
Intersections of bisectors
Comments on Giraud's paper
References
Index