Hyperbolic Manifolds and Kleinian Groups
Book Details
Format
Hardback or Cased Book
Book Series
Oxford Mathematical Monographs
ISBN-10
0198500629
ISBN-13
9780198500629
Publisher
Oxford University Press
Imprint
Clarendon Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 30th, 1998
Print length
264 Pages
Weight
552 grams
Dimensions
23.10 x 15.80 x 2.90 cms
Product Classification:
Complex analysis, complex variablesGeometryAlgebraic topology
Ksh 40,050.00
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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.
A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius 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 Teichmüller 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.
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