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Géométrie et théorie des groupes : les groupes hyperboliques de Gromov

Author: M Coornaert; T Delzant; Athanase Papadopoulos
Publisher: Berlin ; New York : Springer, ©1990.
Series: Lecture notes in mathematics (Springer-Verlag), 1441.
Edition/Format:   eBook : Document : FrenchView all editions and formats
Summary:
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.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Coornaert, M. (Michel).
Géométrie et théorie des groupes.
Berlin ; New York : Springer, ©1990
(DLC) 91115547
(OCoLC)22669587
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: M Coornaert; T Delzant; Athanase Papadopoulos
ISBN: 9783540462941 3540462945
OCLC Number: 294779838
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (x, 165 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Espaces métriques hyperboliques --
Bord d'un espace hyperbolique --
Quasi-géodésiques et quasi-isométries dans les espaces hyperboliques --
Groupes hyperboliques --
Le polyèdre Pd(X) --
Inégalités isopérimétriques et espaces hyperboliques --
Inégalités isopérimétriques : une application --
Approximation par des arbres --
Classification des isométries --
Parties quasi-convexes d'un espace hyperbolique --
Structure métrique sur le bord d'un espace hyperbolique --
Automates et groupes hyperboliques.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1441.
Responsibility: M. Coornaert, T. Delzant, A. Papadopoulos.

Abstract:

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.

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