Cover of Hyperbolic Menifolds and Kleinian Groups by Matsuzaki, Katsuhiko, Taniguchi, Masahiko, ISBN 9780198500629
Algebraic

Hyperbolic Menifolds and Kleinian Groups

HYPERBOLIC MENIFOLDS & KLEINIA

Contributor(s): Author , Author Format: Hardback

Hardback · ISBN 9780198500629

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Key Specifications

ISBN 9780198500629
Subtitle HYPERBOLIC MENIFOLDS & KLEINIA
Publisher OUP Oxford
Publication date April 1998
Language English
MRP £210.00 GBP
Page count 264
Item weight 123 g

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 produced important work which helped make Kleinian groups an active area of complex analysis as a branch of Teichmüller 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.