Lectures on Hyperbolic Geometry (Universitext) - Softcover

Benedetti, Riccardo; Petronio, Carlo

Softcover

ISBN 10: 038755534X ISBN 13: 9780387555348

Publisher: Springer, 1992

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 1992
• Language: English
• ISBN 10: 038755534X
• ISBN 13: 9780387555348
• Binding: Paperback
• Edition number: 1