Spherical CR Geometry and Dehn Surgery
By (author) Richard Evan Schwartz
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Spherical CR Geometry and Dehn Surgery by Richard Evan Schwartz
Book DescriptionThis book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of closed real hyperbolic 3-manifolds which bound complex hyperbolic orbifolds--the only known examples of closed manifolds that simultaneously have these two kinds of geometric structures. The second is a complete understanding of the structure of complex hyperbolic reflection triangle groups in cases where the angle is small. In an accessible and straightforward manner, Richard Evan Schwartz also presents a large amount of useful information on complex hyperbolic geometry and discrete groups. Schwartz relies on elementary proofs and avoids quotations of preexisting technical material as much as possible. For this reason, this book will benefit graduate students seeking entry into this emerging area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry.
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Book DetailsISBN: 9780691128108
(229mm x 152mm x 11mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 29-Jan-2007
Country of Publication: United States
Books By Author Richard Evan Schwartz
Outer Billiards on Kites, Paperback (October 2009)» View all books by Richard Evan Schwartz
Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B H Neumann introduced this system in the 1950s, and J Moser popularized it as a toy model for celestial mechanics. All along, the Moser-Neumann question has been one of the central problems in the field. This title offers solution to the problem.
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Author Biography - Richard Evan Schwartz
Richard Evan Schwartz is Professor of Mathematics at Brown University.
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