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Science and Math Lectures on Hyperbolic Geometry (Universitext) eBook ISBN-10 9027223874, ISBN-13 978-3540555346
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Lectures on Hyperbolic Geometry (Universitext)

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
Series: Universitext
Paperback: 330 pages
Publisher: Springer (September 9, 2003)
Language: English
ISBN-10: 9027223874
ISBN-13: 978-3540555346
ASIN: 354055534X
Product Dimensions: 6.1 x 0.8 x 9.2 inches
Amazon Rank: 777039
Format: PDF ePub TXT book

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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

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...
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