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Asymptotic Geometry and Growth of Conjugacy Classes of Nonpositively Curved Manifolds

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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.

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Authors and Affiliations

  1. Mathematisches Institut II, Universität Karlsruhe, Englerstr. 2, 76 128, Karlsruhe, Germany

    Gabriele Link

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Correspondence to Gabriele Link.

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Mathematics Subject Classifications (2000): 20E45, 53C22, 37F35

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Link, G. Asymptotic Geometry and Growth of Conjugacy Classes of Nonpositively Curved Manifolds. Ann Glob Anal Geom 31, 37–57 (2007). https://doi.org/10.1007/s10455-006-9016-x

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  • DOI: https://doi.org/10.1007/s10455-006-9016-x

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