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

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发表于2025-04-03


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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

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

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

双曲几何讲义(英文) [Lectures on Hyperbolic Geometry] pdf epub mobi txt 电子书 下载
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页数: 346

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5 Algebraic Curves and Riemann Surfaces, Rick Miranda (1995, ISBN

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2 Combinatorial Rigidity, Jack Graver, Brigitte Servatius, Herman Servatius (1993, ISBN 978-0-8218-3801-3)

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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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