Asymptotic Geometry and Growth of Conjugacy Classes of Nonpositively Curved Manifolds |
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Authors: | Gabriele Link |
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Institution: | 1.Mathematisches Institut II,Universit?t Karlsruhe,Karlsruhe,Germany |
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Abstract: | Let X be a Hadamard manifold and Γ⊂Isom(X) a discrete group of isometries which contains an axial isometry without invariant flat half plane. We study the behavior
of conformal densities on the limit set of Γ in order to derive a new asymptotic estimate for the growth rate of closed geodesics
in not necessarily compact or finite volume manifolds.
Mathematics Subject Classifications (2000): 20E45, 53C22, 37F35 |
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Keywords: | Conjugacy classes closed geodesics conformal densities |
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