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...

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Bibliographic Details
Main Authors: Cano, Angel, Navarrete, Juan Pablo (Author), Seade, José (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 2013, 2013
Edition:1st ed. 2013
Series:Progress in Mathematics
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.