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Hyperbolic Manifolds and Kleinian Groups

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Matsuzaki, Katsuhiko; Taniguchi, Masahiko; 作者
译者
1998-4 出版日期
264 页数
$ 224.87 价格
丛书系列
9780198500629 图书编码

Hyperbolic Manifolds and Kleinian Groups 在线电子书 图书标签: 教材  小径分岔的花园  TaniguchiMasahiko  MatsuzakiKatsuhiko  GeoTopo   


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Hyperbolic Manifolds and Kleinian Groups 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Hyperbolic Manifolds and Kleinian Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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Hyperbolic Manifolds and Kleinian Groups 在线电子书 图书描述

A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Mobius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis. After 1960, Ahlfors and Bers were the leading researchers of Kleinian groups and helped it to become an active area of complex analysis as a branch of Teichmuller theory. Later, Thurston brought a revolution to this area with his profound investigation of hyperbolic manifolds, and at the same time complex dynamical approach was strongly developed by Sullivan. This book provides fundamental results and important theorems which are needed for access to the frontiers of the theory from a modern viewpoint.

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