Spherical CR geometry and Dehn surgery:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, N.J.
Princeton University Press
[2007]
|
| Series: | Annals of Mathematics Studies
number 165 |
| Subjects: | |
| Online Access: | Volltext Volltext |
| Item Description: | Main description: 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 |
| Physical Description: | 1 Online-Ressource (200 S.) |
| ISBN: | 9781400837199 |
| DOI: | 10.1515/9781400837199 |
Staff View
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| id | DE-604.BV042522799 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-19T17:41:08Z |
| institution | BVB |
| isbn | 9781400837199 |
| language | English |
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| publishDate | 2007 |
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| publisher | Princeton University Press |
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| series | Annals of Mathematics Studies |
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| spelling | Schwartz, Richard Evan 1966- (DE-588)102219111X aut Spherical CR geometry and Dehn surgery Princeton, N.J. Princeton University Press [2007] © 2007 1 Online-Ressource (200 S.) txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 165 Main description: 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 Komplexe Geometrie (DE-588)4164898-5 gnd rswk-swf Dimension 3 (DE-588)4321722-9 gnd rswk-swf Cauchy-Riemannsche Untermannigfaltigkeit (DE-588)4208176-2 gnd rswk-swf Cauchy-Riemannsche Untermannigfaltigkeit (DE-588)4208176-2 s Dimension 3 (DE-588)4321722-9 s Komplexe Geometrie (DE-588)4164898-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-691-12809-2 Annals of Mathematics Studies number 165 (DE-604)BV040389493 165 https://doi.org/10.1515/9781400837199?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400837199&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schwartz, Richard Evan 1966- Spherical CR geometry and Dehn surgery Annals of Mathematics Studies Komplexe Geometrie (DE-588)4164898-5 gnd Dimension 3 (DE-588)4321722-9 gnd Cauchy-Riemannsche Untermannigfaltigkeit (DE-588)4208176-2 gnd |
| subject_GND | (DE-588)4164898-5 (DE-588)4321722-9 (DE-588)4208176-2 |
| title | Spherical CR geometry and Dehn surgery |
| title_auth | Spherical CR geometry and Dehn surgery |
| title_exact_search | Spherical CR geometry and Dehn surgery |
| title_full | Spherical CR geometry and Dehn surgery |
| title_fullStr | Spherical CR geometry and Dehn surgery |
| title_full_unstemmed | Spherical CR geometry and Dehn surgery |
| title_short | Spherical CR geometry and Dehn surgery |
| title_sort | spherical cr geometry and dehn surgery |
| topic | Komplexe Geometrie (DE-588)4164898-5 gnd Dimension 3 (DE-588)4321722-9 gnd Cauchy-Riemannsche Untermannigfaltigkeit (DE-588)4208176-2 gnd |
| topic_facet | Komplexe Geometrie Dimension 3 Cauchy-Riemannsche Untermannigfaltigkeit |
| url | https://doi.org/10.1515/9781400837199?locatt=mode:legacy http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400837199&searchTitles=true |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT schwartzrichardevan sphericalcrgeometryanddehnsurgery |