On the growth of nonuniform lattices in pinched negatively curved manifolds
classification
🧮 math.DS
keywords
curvedgrowthlatticesmanifoldnegativelypinchedcloselycritical
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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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