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Hyperbolic Manifolds and Kleinian Groups (Oxford Mathematical Monographs)

Home > Mathematics Books > Hyperbolics > Item 26

	Hyperbolic Manifolds and Kleinian Groups (Oxford Mathematical Monographs)
	by Katsuhiko Matsuzaki and Masahiko Taniguchi Sales Rank: 2166897	List Price: ~~$285.00~~ $315.00 At Amazon on 12-6-2008

Hardcover: 264 pages Publisher: Oxford University Press, USA July 16, 1998 Language: English ISBN-10: 0198500629 ISBN-13: 978-0198500629 Product Dimensions: 9 x 6 x 0.8 inches Shipping Weight: 1.2 pounds *Product Review* "The subject of this monograph is the modern theory of Kleinian groups as developed by Ahlfors, Bers, Thurston and their students. It prepares the reader for the current work on the subject."--Mathematical Reviews *Product Description* 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 produced important work which helped make Kleinian groups an active area of complex analysis as a branch of Teichmuller theory. Later, Thurston brought about a revolution in the field with his profound investigation of hyperbolic manifolds, and Sullivan developed an important complex dynamical approach. This book provides the fundamental results and key theorems necessary for access to the frontiers of the theory from a modern viewpoint.
Hyperbolic Manifolds and Kleinian Groups (Oxford Mathematical Monographs) Available from Amazon Price: $315.00 Updated on 12-6-2008

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