Complex Kleinian Groups

• Main Authors: Cano, Angel. (Author), Navarrete, Juan Pablo. (Author), Seade, Jos.̌ (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Series: Progress in Mathematics ; 303
• Subjects: Mathematics.; Topological Groups.; Differentiable dynamical systems.; Differential equations, partial.; Dynamical Systems and Ergodic Theory.; Topological Groups, Lie Groups.; Several Complex Variables and Analytic Spaces.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0481-3

This monograph lays down the foundations of the theory of complex Kleinian groups, a <U+001c>newborn area of mathematics whose origin can be traced back to the work of Riemann, Poincar,̌ Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of th...

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. .