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.mutually tangent from the outside and with centers on the faces of Q; the interiors of these spheres cover densely the surface of Q. Consider the group G1 generated by the inversions Jk with respect to the spheres Sk, and denote by G1 theanbsp;...

Title | : | Kleinian Groups and Uniformization in Examples and Problems |

Author | : | Samuil Leĭbovich Krushkalʹ, Boris Nikolaevich Apanasov, Nikolaĭ Aleksandrovich Gusevskiĭ |

Publisher | : | American Mathematical Soc. - 1986 |

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