Hyperbolic Manifolds and Kleinian Groups (Hardcover)

A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Moebius 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.

General

Imprint:	Clarendon Press
Country of origin:	United Kingdom
Series:	Oxford Mathematical Monographs
Release date:	April 1998
First published:	July 1998
Authors:	Katsuhiko Matsuzaki (Associate Professor) • Masahiko Taniguchi (Associate Professor)
Dimensions:	242 x 160 x 19mm (L x W x T)
Format:	Hardcover
Pages:	264
ISBN-13:	978-0-19-850062-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > Algebraic topology Promotions
LSN:	0-19-850062-9
Barcode:	9780198500629

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