双曲几何讲义(英文) [Lectures on Hyperbolic Geometry]

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

[意] 本尼迪特(Benedetti R.) 著
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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).

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内容不错,比Thurston的书略深一些,适合入门!

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好书!好书!

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印刷质量很差,内容没的说

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定价: 55.00元

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本科生可能看不懂哦。喜欢几何,越学越感觉没入门。晕。加油吧?

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