Lectures on Hyperbolic Geometry

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.

Author: Riccardo Benedetti, Carlo Petronio
Publisher: Springer
Published: 09/03/1992
Pages: 330
Binding Type: Paperback
Weight: 1.09lbs
Size: 9.21h x 6.14w x 0.73d
ISBN13: 9783540555346
ISBN10: 354055534X
BISAC Categories:
- Mathematics | Geometry | Non-Euclidean
- Mathematics | Geometry | Differential

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