ENGLISH

Lectures on Hyperbolic Geometry

By Riccardo Benedetti , Carlo Petronio

Book information

Publisher
Springer
Year
1992
ISBN
354055534X, 9783540555346
LCC
QA685 .B46 1992
Language
english
Format
DJVU
Filesize
8 MB (8525598 bytes)
Series
Universitext
Pages
343\343
DPI
600
Scanned
yes
Time added
2011-08-31 04:54:40

Description

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 Teichm?ller 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.

Similar books