On the growth of nonuniform lattices in pinched negatively curved manifolds

Details On the growth of nonuniform lattices in pinched negatively curved manifolds On the growth of nonuniform lattices in pinched negatively curved manifolds

2009-02-13

arxiv.org/abs/0902.2315v1

Journal f\"ur die reine und angewandte Mathematik (Crelles Journal) 2009, 627 (2009) 31-52

Mathematics

Dynamical Systems

Scientific paper

10.1515/CRELLE.2009.010

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 .

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