Lectures on Hyperbolic Geometry

Carlo Petronio, Riccardo Benedetti

ISBN 10: 354055534X / ISBN 13: 9783540555346

Verlag: Springer Berlin Heidelberg, 2003

Beschreibung

Zustand: Sehr gut | Seiten: 348 | Sprache: Englisch | Produktart: Sonstiges.

Bestandsnummer des Verkäufers 1168072/2

Bibliografische Details

• Titel: Lectures on Hyperbolic Geometry
• Verlag: Springer Berlin Heidelberg
• Erscheinungsjahr: 2003
• Sprache: Englisch
• ISBN-10: 354055534X
• ISBN-13: 9783540555346
• Einband: Softcover
• Auflage: 2. Auflage
• Zustand: Sehr gut
• Verkäuferkataloge:
  • Sonstiges

Über diesen Titel

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.