雙麯幾何講義（英文） [Lectures on Hyperbolic Geometry] 下載 mobi epub pdf 電子書 2024

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圖書介紹

齣版社：世界圖書齣版公司

ISBN：9787510046322

版次：1

商品編碼：11142971

包裝：平裝

外文名稱：Lectures on Hyperbolic Geometry

開本：24開

齣版時間：2012-08-01

用紙：膠版紙

頁數：330

正文語種：英文

圖書描述

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）.