Hyperbolic Geometry from a Local Viewpoint 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Keen, Linda/ Lakic, Nikola 作者

Cambridge Univ Pr

译者

2007-3 出版日期

282 页数

$ 65.54 价格

Pap

丛书系列

9780521682244 图书编码

Hyperbolic Geometry from a Local Viewpoint 在线电子书图书标签: 复分析7 复分析双曲几何 geometry QS Math

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Hyperbolic Geometry from a Local Viewpoint 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Hyperbolic Geometry from a Local Viewpoint 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Hyperbolic Geometry from a Local Viewpoint 在线电子书图书描述

Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems.

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