Lectures on Hyperbolic Geometry (Universitext) Riccardo Benedetti ; Carlo Petronio / Universitext

Benedetti, Riccardo and Carlo Petronio:

ISBN 10: 354055534X / ISBN 13: 9783540555346

Verlag: Springer 04.10.2013., 2013

348 Seiten 9783540555346 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Deutsch Gewicht in Gramm: 612 15,5 x 2,0 x 23,5 cm, Taschenbuch Auflage: 1st ed. 1992. 2nd printing 2003. Bestandsnummer des Verkäufers 39606

Inhaltsangabe:

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.

Reseña del editor: 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.

Bibliografische Details

Titel: Lectures on Hyperbolic Geometry (...
Verlag: Springer 04.10.2013.
Erscheinungsdatum: 2013
Einband: Softcover
Zustand: Sehr gut
Auflage: 1. Auflage