On the growth of nonuniform lattices in pinched negatively curved manifolds

Abstract

We study the relation between the exponential growth rate of volume in a pinched negatively curved manifold and the critical exponent of its lattices. These objects have a long and interesting story and are closely related to the geometry and the dynamical properties of the geodesic flow of the manifold .

Cited by in corpus (4)

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• Autour de l'exposant critique d'un groupe kleinien
• Cusped spaces and quasi-isometries of relatively hyperbolic groups
• Central limit theorem of Brownian motions in pinched negative curvature