Hyperbolic Manifolds and Discrete Groups

by Michael Kapovich

The main goal of the book is to present a proof of the following. Thurston's Hyperbolization Theorem ("The Big Monster"). Suppose that M is a compact atoroidal Haken 3-manifold that has zero Euler characteristic. Then the interior of M admits a complete hyperbolic metric of finite volume. This theorem establishes a strong link between the geometry and topology 3 of 3-manifolds and the algebra of discrete subgroups of Isom(JH ). It completely changed...

• Format: Paperback
• Language: English
• ISBN: 0817649123
• ISBN13: 9780817649128
• Release Date: October 2009
• Publisher: Birkhauser
• Length: 470 Pages
• Weight: 1.52 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"