Hyperbolic Manifolds and Discrete Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Michael Kapovich 作者

Birkhäuser Boston

譯者

2000-11-03 出版日期

492 頁數

USD 119.00 價格

Hardcover

叢書系列

9780817639044 圖書編碼

Hyperbolic Manifolds and Discrete Groups 在線電子書圖書標籤: 美國數學 Mathematics

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發表於2024-09-21

Hyperbolic Manifolds and Discrete Groups 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Hyperbolic Manifolds and Discrete Groups 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Hyperbolic Manifolds and Discrete Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Hyperbolic Manifolds and Discrete Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Hyperbolic Manifolds and Discrete Groups 在線電子書圖書描述

"Hyperbolic Manifolds and Discrete Groups" is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout is on the 'Big Monster', i.e., on Thurston's hyperbolization theorem, which has not only completely changed the landscape of 3-dimensional topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book presents the first complete proof of Thurston's hyperbolization theorem in the 'generic case' and an outline of Otal's proof of the hyperbolization theorem for manifolds fibered over the circle. This important work contains an extended treatment of the theory of Kleinian groups and group actions on trees, including such key topics as: the Kazhdan-Margulis-Zassenhaus theorem; the Klein and Maskit combination theorems; the Mostow rigidity theorem; the Douady-Earle extension theorem for homeomorphisms of the circle; the smoothness theorem for representation varieties of Kleinian groups; the Ahlfors finiteness theorem; the Brooks deformation theorem; characterization of pseudo-Anosov homeomorphisms; and, compactification of character varieties via group actions on trees.

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