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Title: HYPERBOLIC MANIFOLDS AND KLEINIAN GROUPS
By: Katsuhiko Matsuzaki, Masahiko Taniguchi
Format: Hardback

List price: £190.00
Our price: £166.25
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ISBN 10: 0198500629
ISBN 13: 9780198500629
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Publisher: OXFORD UNIVERSITY PRESS
Pub. date: 30 April, 1998
Series: Oxford Mathematical Monographs
Pages: 264
Description: This book is a comprehensive guide to theories of Kleinian groups from the viewpoints of both geometry and analysis. Studies of Kleinian groups have been in an active area in mathematics concerned with many interesting theories. This book provides fundamental results and important theorems which are needed for access to the frontiers of the theory from a modern viewpoint.
Synopsis: 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 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.
Illustrations: line figures
Publication: UK
Imprint: Clarendon Press
Returns: Returnable
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