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Hyperbolic Manifolds and Kleinian Groups (Oxford Mathematical Monographs)

Katsuhiko Matsuzaki

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ISBN 10: 0198500629 / ISBN 13: 9780198500629
Published by Clarendon Press, 1998
Condition: Good Hardcover
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Bibliographic Details

Title: Hyperbolic Manifolds and Kleinian Groups (...

Publisher: Clarendon Press

Publication Date: 1998

Binding: Hardcover

Book Condition: Good

Edition: 1.

About this title


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.

About the Author:

Katsuhiko Matsuzaki is at Ochanomizu University. Masahiko Taniguchi is at Kyoto University.

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