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Hyperbolic manifolds and Kleinian groups / Katsuhiko Matsuzaki, and Masahiko Taniguchi

Auteur principal : Matsuzaki, Katsuhiko, 1963-, AuteurCo-auteur : Taniguchi, Masahiko, 1951-, AuteurType de document : MonographieCollection : Oxford mathematical monographsLangue : anglais.Pays : Grande Bretagne.Éditeur : Oxford : Clarendon Press, 1998Description : 1 vol. (IX-253 p.) : ill. ; 24 cmISBN : 0198500629.ISSN : 0964-9174.Bibliographie : Bibliogr. p. 244-249. Index.Sujet MSC : 30F40, Functions of a complex variable - Riemann surfaces, Kleinian groups
30-02, Research exposition (monographs, survey articles) pertaining to functions of a complex variable
57K10, Low-dimensional topology in specific dimensions, Knot theory
En-ligne : Zentralblatt | MathSciNet
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30 MAT (Browse shelf) Available 00332-01

The subject of this monograph is the modern theory of Kleinian groups as developed by Ahlfors, Bers, Thurston and their students. It prepares the reader for the current work on the subject. The chapter headings give a rough idea of the contents: (0) Hyperbolic surfaces and Fuchsian groups: Summary; (1) Hyperbolic 3-manifolds; (2) The basis of Kleinian group theory; (3) Geometrically finite Kleinian groups; (4) Finitely generated Kleinian groups; (5) The sphere at infinity; (6) Infinite ends of hyperbolic manifolds; (7) Algebraic and geometric convergence. (MathSciNet)

Bibliogr. p. 244-249. Index

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