Focussing on the geometry of hyperbolic manifolds, the aim here is to provide an exposition of some fundamental results, while being as self-contained, complete, detailed and unified as possible. Following some classical material on the hyperbolic space and the Teichmüller space, the book centers on the two fundamental results: Mostow's rigidity theorem (including a complete proof, following Gromov and Thurston) and Margulis' lemma. These then fo...
By Riccardo Benedetti
Paperback: 330 pages
Publisher: Springer (September 9, 2003)
Product Dimensions: 6.1 x 0.8 x 9.2 inches
Amazon Rank: 777039
Format: PDF Text TXT book
This book strikes a great balance between detail and intuition. As another reviewer noted, the book falls neatly between Ratcliffe's "Foundations of hyperbolic manifolds" and Thurston's "The geometry and topology of three-manifolds" on the detail/int