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关键词：
Hyperbolic Geometry from a Local Viewpoint
书目信息
ISBN：
9780521863605（13位）
中图分类号：
O1
杜威分类号：
中文译名：
双曲线几何
作者：
Linda Keen
编者：
语种：
English
出版信息
出版社：
Cambridge University Press
出版地：
出版年：
2007
版本：
版本类型：
原版
丛书题名：
卷期：
文献信息
关键词：
Topology and Geometry
前言：
摘要：
内容简介：
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.
目次：
Introduction; 1. Elementary transformations; 2 Hyperbolic metric in the unit disk; 3. Holomorphic functions; 4. Topology and uniformization; 5. Discontinuous groups; 6 Fuchsian groups; 7. General hyperbolic metric; 8. The Kobayashi metric; 9. The Caratheodory pseudo metric; 10. Contraction properties; 11. Applications; 12 Applications II; 13. Applications III; 14. Estimating hyperbolic densities; 15. Uniformly perfect domains; 16 Appendix: Elliptic functions; Bibliography.
附录：
全文链接：
读者对象：
mathematics, geometry, complex dynamical systems
实体信息
页码：
250
装帧：
Hardback
尺寸：
其它形态细节：
其它信息
原价：
USD
115.0000
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
0521863600
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