Hyperbolic Manifolds and Kleinian Groups Hardback
by Katsuhiko (Associate Professor, Associate Professor, Ochanomizu University) Matsuzaki, Masahiko (Associate Professor, Associate Professor, Kyoto University, Japan) Taniguchi
Part of the Oxford Mathematical Monographs series
Hardback
Description
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.
Information
-
Out of stock
- Format:Hardback
- Pages:264 pages, line figures
- Publisher:Oxford University Press
- Publication Date:30/04/1998
- Category:
- ISBN:9780198500629
Information
-
Out of stock
- Format:Hardback
- Pages:264 pages, line figures
- Publisher:Oxford University Press
- Publication Date:30/04/1998
- Category:
- ISBN:9780198500629
