Complex Kleinian Groups
This monograph lays down the foundations of the theory of complex Kleinian groups, a “newborn” area of mathematics whose origin can be traced back to the work of Riemann, Poincaré, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sph...
Main Authors: | , , |
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Format: | eBook |
Language: | English |
Published: |
Basel
Birkhäuser
2013, 2013
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Edition: | 1st ed. 2013 |
Series: | Progress in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Introduction
- Acknowledgments
- 1 A glance of the classical theory
- 2 Complex hyperbolic geometry
- 3 Complex Kleinian groups
- 4 Geometry and dynamics of automorphisms of P2C
- 5 Kleinian groups with a control group
- 6 The limit set in dimension two
- 7 On the dynamics of discrete subgroups of PU(n,1)
- 8 Projective orbifolds and dynamics in dimension two
- 9 Complex Schottky groups
- 10 Kleinian groups and twistor theory
- Bibliography
- Index.