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Hyperbolic geometry from a local viewpoint /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Hyperbolic geometry from a local viewpoint // Linda Keen, Nikola Lakic.
Author:	Keen, Linda,
other author:	Lakic, Nikola,
Description:	1 online resource (x, 271 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Geometry, Hyperbolic. -
Online resource:	https://doi.org/10.1017/CBO9780511618789
ISBN:	9780511618789 (ebook)

Hyperbolic geometry from a local viewpoint /
Keen, Linda,

Hyperbolic geometry from a local viewpoint /Linda Keen, Nikola Lakic. - 1 online resource (x, 271 pages) :digital, PDF file(s). - London Mathematical Society student texts ;68. - London Mathematical Society student texts ;81..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511618789 (ebook)Subjects--Topical Terms:

672375
Geometry, Hyperbolic.

LC Class. No.: QA685 / .K4 2007

Dewey Class. No.: 516.9

Hyperbolic geometry from a local viewpoint /
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245 1 0 $a Hyperbolic geometry from a local viewpoint / $c Linda Keen, Nikola Lakic.
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490 1 $a London Mathematical Society student texts ; $v 68
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Geometry, Hyperbolic. $3 672375
700 1 $a Lakic, Nikola, $d 1966- $e author. $3 1443994
776 0 8 $i Print version: $z 9780521863605
830 0 $a London Mathematical Society student texts ; $v 81. $3 1156767
856 4 0 $u https://doi.org/10.1017/CBO9780511618789