Resumen de Riemann mappings of invariant components of Kleinian groups

Hiroshige Shiga

• In this paper, we shall investigate complex analytic properties of Riemann mappings of simply connected invariant components of Kleinian groups. In particular, we consider the growth of the derivatives of Riemann mappings to understand Kleinian groups that are quasi-Fuchsian groups, regular b-groups and Kleinian groups with bounded geometry.