Uniform spectral gap and orthogeodesic counting for strong convergence of Kleinian groups
Uniform spectral gap and orthogeodesic counting for strong convergence of Kleinian groups
Abstract We show convergence of small eigenvalues for geometrically finite hyperbolic n -manifolds under strong limits. For a class of convergent convex sets in a strongly convergent sequence of Kleinian groups, we use the spectral gap of the limit manifold and the exponentially mixing property of the geodesic flow along …