双曲几何讲义（英文） [Lectures on Hyperbolic Geometry] pdf epub mobi txt 电子书下载 2025

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出版社：世界图书出版公司

ISBN：9787510046322

版次：1

商品编码：11142971

包装：平装

外文名称：Lectures on Hyperbolic Geometry

开本：24开

出版时间：2012-08-01

用纸：胶版纸

页数：330

正文语种：英文

具体描述

内容简介

　　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）.