Hyperbolic Manifolds and Discrete Groups
This classic book is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on Thurston’s hyperbolization theorem, one of the central results of 3-dimensio...
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Boston :
Birkhäuser Boston,
2010.
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Σειρά: | Modern Birkhäuser Classics
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Three-Dimensional Topology
- Thurston Norm
- Geometry of Hyperbolic Space
- Kleinian Groups
- Teichmüller Theory of Riemann Surfaces
- to Orbifold Theory
- Complex Projective Structures
- Sociology of Kleinian Groups
- Ultralimits of Metric Spaces
- to Group Actions on Trees
- Laminations, Foliations, and Trees
- Rips Theory
- Brooks’ Theorem and Circle Packings
- Pleated Surfaces and Ends of Hyperbolic Manifolds
- Outline of the Proof of the Hyperbolization Theorem
- Reduction to the Bounded Image Theorem
- The Bounded Image Theorem
- Hyperbolization of Fibrations
- The Orbifold Trick
- Beyond the Hyperbolization Theorem.