Dimension of limit sets in variable curvature
Dimension of limit sets in variable curvature
We compute the Hausdorff dimension of the limit set of an arbitrary Kleinian group of isometries of a complete simply-connected Riemannian manifold with pinched negative sectional curvatures $-b^2\leq k\leq -1$. Moreover, we construct hyperbolic surfaces with a set of non-recurrent orbits of dimension zero.