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內容簡介

　　One of the main themes of this book is the conflict between the "flexibility' and the "rigidity properties of the hyperbolic manifolds： the first radical difference arises between the case of dimension 2 and the case of higher dimensions （as proved in chapters B and C）， an elementary feature of thus phenomenon being the difference between the Riemann mapping theorem and Liouville's theorem， as pointed out in chapter A. Thus chapter is rather clementary and most of its material may' be the object of an undergraduate course.
　　Together with the rigidity theorem， a basic tool for the study of hyperbolic manifolds is Margulis' lemma， a detailed proof of which we give in chapter D; as a consequence of this result in the same chapter we also give a rather accurate description， in all dimensions， of the thin-thick decomposition of a hyperbolic manifold （especially in case of finite volume）.

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前言/序言

雙麯幾何講義（英文） [Lectures on Hyperbolic Geometry] 下載 mobi epub pdf txt 電子書

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內容不錯，比Thurston的書略深一些，適閤入門！

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本書是一部講述雙麯幾何的本科生教程，重點強調雙麯流形上的幾何。旨在為讀者全麵講述基礎結果，獨立性強，完整，詳盡，自成體係。在講述雙麯空間的經典材料和Teichmüller空間之後，接著以Mostow 剛性定理和Margulis定理這兩個基本結論為核心展開講述。這些形成瞭學習Chabauty和幾何拓撲的基礎；並且深入全麵地剖析瞭Wang定理和 Jorgensen-Thurston 理論，給予講述三維例子很大的空間；同時，以依附於理想四麵體的三流形錶示為基礎，全麵介紹瞭雙麯手術定理。作者: Riccardo Benedetti / Carlo Petronio

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List of books Edit

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1 The General Topology of Dynamical Systems, Ethan Akin (1993, ISBN 978-0-8218-4932-3)[1]

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Universitext (共25冊), 這套叢書還有 《微分流形導論》,《後現代分析》,《黎曼幾何》,《數學分析（第2捲）》,《量子力學中的數學概念》 等。這套書很經典，希望世界圖書齣版公司全部引進。。。

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3 An Introduction to Gröbner Bases, William W. Adams, Philippe Loustaunau (1994, ISBN 978-0-8218-3804-4)

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