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arxiv: math/0508346 · v2 · submitted 2005-08-18 · 🧮 math.DG

Asymptotic geometry and growth of conjugacy classes of nonpositively curved manifolds

classification 🧮 math.DG
keywords asymptoticgammagrowthmanifoldsaxialbehaviorclassesclosed
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Let X be a Hadamard manifold and $\Gamma$ a discrete group of isometries of X which contains an axial isometry without invariant flat half plane. We study the behavior of conformal densities on the geometric limit set of $\Gamma$ in order to derive a new asymptotic estimate for the growth rate of closed geodesics in not necessarily compact or finite volume manifolds.

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