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Kleinian groups and uniformization in examples and problems / S. L. Krushkal', B. N. Apanasov, N. A. Gusevskii ; H. H. McFaden ; Bernard Maskit

Auteur principal : Krouchkal, Samouil Leibovitch, 1938-, AuteurCo-auteur : Gusevski, Nikolai Aleksandrovitch, Auteur • Apanasov, Boris Nikolaevich, 1950-, AuteurAuteur secondaire : McFaden, Harold Hogan, TraducteurType de document : MonographieCollection : Translations of mathematical monographs, 62Langue : anglais.Pays : Etats Unis.Éditeur : Providence : American Mathematical Society, 1986Description : 1 vol. (IX-198 p.) : ill. ; 24 cmISBN : 0821845160.Bibliographie : Bibliogr. p. 175-193. Index.Sujet MSC : 30F40, Functions of a complex variable -- Riemann surfaces, Kleinian groups
30F10, Functions of a complex variable -- Riemann surfaces, Compact Riemann surfaces and uniformization
32G15, Several complex variables and analytic spaces -- Deformations of analytic structures, Moduli of Riemann surfaces, Teichmüller theory
57M12, Manifolds and cell complexes -- Low-dimensional topology, Special coverings, e.g. branched
En-ligne : Zentralblatt | MathScinet
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Bibliogr. p. 175-193. Index

Aimed at researchers, graduate students and undergraduates alike, this book presents a unified exposition of all the main areas and methods of the theory of Kleinian groups and the theory of uniformization of manifolds. The past 20 years have seen a rejuvenation of the field, due to the development of powerful new methods in topology, the theory of functions of several complex variables, and the theory of quasiconformal mappings. Thus this new book should provide a valuable resource, listing the basic facts regarding Kleinian groups and serving as a general guide to the primary literature, particularly the Russian literature in the field. In addition, the book includes a large number of examples, problems, and unsolved problems, many of them presented for the first time. (source : AMS)

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