Complex Kleinian Groups [electronic resource] by Angel Cano, Juan Pablo Navarrete, José Seade.

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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
Uniform Title:Progress in Mathematics, 2296-505X ; 303
Main Authors: Cano, Angel (Author)
Navarrete, Juan Pablo (Author)
Seade, José (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edition:1st ed. 2013.
Series:Progress in Mathematics, 303
Subjects:
Dynamical systems.
Topological groups.
Lie groups.
Functions of complex variables.
Online Access:
Springer English/International eBooks 2013 - Full Set: 2013 (Springer Link)
Format: Electronic eBook
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.  .