Lectures On Hyperbolic Geometry

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Lectures on Hyperbolic Geometry

Lectures on Hyperbolic Geometry
Author :
Publisher : Springer Science & Business Media
Total Pages : 343
Release :
ISBN-10 : 9783642581588
ISBN-13 : 3642581587
Rating : 4/5 (587 Downloads)

Book Synopsis Lectures on Hyperbolic Geometry by : Riccardo Benedetti

Download or read book Lectures on Hyperbolic Geometry written by Riccardo Benedetti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 form the basis for studying Chabauty and geometric topology; a unified exposition is given of Wang's theorem and the Jorgensen-Thurston theory; and much space is devoted to the 3D case: a complete and elementary proof of the hyperbolic surgery theorem, based on the representation of three manifolds as glued ideal tetrahedra.


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