Spherical CR Geometry and Dehn Surgery (AM-165)

Annals of Mathematics Studies

Book 178
Princeton University Press
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This 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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About the author

Richard Evan Schwartz is Professor of Mathematics at Brown University.
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Additional Information

Publisher
Princeton University Press
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Published on
Jan 29, 2007
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Pages
200
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ISBN
9781400837199
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Best For
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Language
English
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Genres
Mathematics / Geometry / General
Mathematics / Reference
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Content Protection
This content is DRM protected.
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Eligible for Family Library

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