Hyperbolic Manifolds and Kleinian Groups

Name: Hyperbolic Manifolds and Kleinian Groups
Price: 221.74 USD
Availability: InStock
ISBN: 9780198500629

ISBN-10: 0198500629

ISBN-13: 9780198500629

Edition: 1998

Authors: Katsuhiko Matsuzaki, Masahiko Taniguchi

List price: $240.00

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A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Mbius 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 Teichmller 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…

Book details

List price: $240.00
Copyright year: 1998
Publisher: Oxford University Press, Incorporated
Publication date: 7/16/1998
Binding: Hardcover
Pages: 264
Size: 6.14" wide x 9.21" long x 0.75" tall
Weight: 1.144
Language: English




Hyperbolic surfaces and Fuchsian groups: summary



Hyperbolic 3-manifolds



The basis of Kleinian group theory



Geometrically finite Kleinian groups



Finitely generated Kleinian groups



The sphere at infinity



Infinite ends of hyperbolic manifolds



Algebraic and geometric convergences


Appendix


References