Front cover image for Complex kleinian groups and limit sets in [image omitted]P2

Peer-reviewed

Complex kleinian groups and limit sets in [image omitted]P2

Guillermo Sienra
For Γ a lattice in PU(2,1), the isometries of the 2-complex ball naturally extend to an action in [image omitted]: we prove that the limit set of this action coincides with the complement of the ball in the projective space. We prove that the action is ergodic with respect to a certain measure. Also, we study other kinds of actions: for instance we construct an action whose limit set is the entire [image omitted], but is not minimal although it is algebraically mixing
Article, 2004
Taylor & Francis, 2004