Overview

The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups. It contains complete proofs of some basic theorems which are due to Gromov, and emphasizes some important developments on isoperimetric inequalities, automatic groups, and the metric structure on the boundary of a hyperbolic space.

Full Product Details

Author:   Michel Coornaert ,  Thomas Delzant ,  Athanase Papadopoulos
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1990 ed.
Volume:   1441
Dimensions:   Width: 15.50cm , Height: 0.90cm , Length: 23.50cm
Weight:   0.590kg
ISBN:  

9783540529774

ISBN 10:   3540529772
Pages:   165
Publication Date:   12 September 1990
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Language:   French

Table of Contents

Espaces metriques hyperboliques.- Bord d'un espace hyperbolique.- Quasi-geodesiques et quasi-isometries dans les espaces hyperboliques.- Groupes hyperboliques.- Le polyedre Pd(X).- Inegalites isoperimetriques et espaces hyperboliques.- Inegalites isoperimetriques : une application.- Approximation par des arbres.- Classification des isometries.- Parties quasi-convexes d'un espace hyperbolique.- Structure metrique sur le bord d'un espace hyperbolique.- Automates et groupes hyperboliques.

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