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Spherical CR Geometry and Dehn Surgery (AM-165) /
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 whic...
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| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Princeton :
Princeton University Press,
2007.
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| Series: | Book collections on Project MUSE.
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| Subjects: | |
| Online Access: | Texto completo |
| Summary: | 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 accessib. |
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| Physical Description: | 1 online resource: illustrations |
| ISBN: | 9781400837199 |