Hyperbolic Manifolds and Discrete Groups (Repost)
Michael Kapovich, "Hyperbolic Manifolds and Discrete Groups"
2000 | pages: 446 | ISBN: 0817639047 | PDF | 5,6 mb
2000 | pages: 446 | ISBN: 0817639047 | PDF | 5,6 mb
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-dimensional topology that has completely changed the landscape of the field. The book contains a number of open problems and conjectures related to the hyperbolization theorem as well as rich discussions on related topics including geometric structures on 3-manifolds, higher dimensional negatively curved manifolds, and hyperbolic groups.
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