Hyperbolic Menifolds and Kleinian Groups (Hardcover) (ISBN-13: 9780198500629)

A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Mius 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 Teichm?ler 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.

Author: Katsuhiko Matsuzaki, Masahiko Taniguchi
ISBN-10: 0198500629
ISBN-13: 9780198500629
Publisher: Clarendon Press
Language: English
Published: 07/16/1998
Pages: 264
Format: Hardcover
Weight: 1.23lbs
Size: 9.00h x 6.00w x 0.75d