Lectures on hyperbolic geometry.

Benedetti, Riccardo

ISBN 10: 354055534X / ISBN 13: 9783540555346

Published by Berlin, Springer, 2003

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03719 354055534X Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2489643

Bibliographic Details

• Title: Lectures on hyperbolic geometry.
• Publisher: Berlin, Springer
• Publication Date: 2003
• Language: English
• ISBN 10: 354055534X
• ISBN 13: 9783540555346
• Binding: Softcover
• Edition: [Nachdr.].
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.