Rigidity of limit sets for nonplanar geometrically finite Kleinian groups of the second kind

We consider the relation between geometrically finite groups and their limit sets in infinite-dimensional hyperbolic space. Specifically, we show that a rigidity theorem of Susskind and Swarup ('92) generalizes to infinite dimensions, while a stronger rigidity theorem of Yang and Jiang ('10) does not

SCHOTTKY GROUP ACTIONS IN COMPLEX GEOMETRY

International audienceThis paper discusses some recent progress on Schottky group actions on compact and non-compact complex manifolds