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Geometrie et theorie des groupes: Les groupes hyperboliques de Gromov de Michel Coornaert

Geometrie et theorie des groupes: Les groupes hyperboliques de Gromov: Lecture Notes in Mathematics, cartea 1441

Autor Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
fr Limba Franceză Paperback – 12 sep 1990
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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Specificații

ISBN-13: 9783540529774
ISBN-10: 3540529772
Pagini: 184
Ilustrații: X, 165 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.59 kg
Ediția:1990
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.