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A note on asymptotic expansions for closed geodesics in homology classes

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Abstract.

The counting function of prime closed geodesics in a fixed homology class is investigated for a closed negatively curved manifold. The coefficients in its asymptotic expansion is described by means of dynamical properties of the geodesic flow. Their dependency on the homology class is clarified by looking at the dominant terms.

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Authors and Affiliations

  1. Mathematical Institute, Graduate School of Sciences, Tohoku University, Aoba, Sendai 980-77, Japan (e-mail: kotani@math.tohoku.ac.jp , , , , , , JP

    Motoko Kotani

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  1. Motoko Kotani
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Received June 22, 1999 / Published online March 12, 2001

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Kotani, M. A note on asymptotic expansions for closed geodesics in homology classes. Math Ann 320, 507–529 (2001). https://doi.org/10.1007/PL00004484

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  • DOI: https://doi.org/10.1007/PL00004484

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