Ergodic Theory and Dynamical Systems

Research Article

Bounded cohomology and totally real subspaces in complex hyperbolic geometry

MARC BURGERa1 and ALESSANDRA IOZZIa1

a1 Department Mathematik, ETH Zentrum, CH-8092 Zürich, Switzerland (email: burger@math.ethz.ch, iozzi@math.ethz.ch)

Abstract

We characterize representations of finitely generated discrete groups into (the connected component of) the isometry group of a complex hyperbolic space via the pullback of the bounded Kähler class.

(Received January 15 2011)

(Revised May 06 2011)

(Online publication September 14 2011)

Footnotes

To Dan