Convex-cocompactness of Kleinian groups and conformally flat manifolds with positive scalar curvature

摘要

We give a suffcient condition for a higher dimensional Kleinian group Gamma subset of Isom(Hn+1) to be convex cocompact in terms of the critical exponent of. As a consequence, we see that the fundamental group of a compact conformally at manifold with positive scalar curvature is hyperbolic in the sense of Gromov. We give some other applications to geometry and topology of conformally at manifolds with positive scalar curvature. [References: 17]