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Synopsis
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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- PublisherPrinceton University Press
- Publication date2007
- ISBN 10 0691128103
- ISBN 13 9780691128108
- BindingPaperback
- Number of pages200
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Spherical CR Geometry and Dehn Surgery (Annals of Mathematics Studies)
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Princeton University Press, 2007
ISBN 10: 0691128103
ISBN 13: 9780691128108
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Spherical CR Geometry And Dehn Surgery
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Spherical CR Geometry and Dehn Surgery (Annals of Mathematics Studies)
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ISBN 10: 0691128103
ISBN 13: 9780691128108
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Spherical CR Geometry And Dehn Surgery
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ISBN 10: 0691128103
ISBN 13: 9780691128108
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Spherical CR Geometry And Dehn Surgery
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Spherical CR Geometry and Dehn Surgery
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9780691128108
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Spherical CR Geometry and Dehn Surgery (AM-165)
Published by
Princeton University Press, 2007
ISBN 10: 0691128103
ISBN 13: 9780691128108
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Proves an analogue of Thurston s celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. This book is suitable for graduate students interested in this area o. Seller Inventory # 447030742
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Spherical CR Geometry And Dehn Surgery
Published by
Princeton University Press, 2007
ISBN 10: 0691128103
ISBN 13: 9780691128108
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