Asymptotics of the Length Spectrum for Hyperbolic Manifolds of Infinite Volume

نویسنده

  • PETER A. PERRY
چکیده

We compute the leading asymptotics of the counting function for closed geodesics on a convex co-compact hyperbolic manifold in terms of spectral data and scattering resonances for the Laplacian. Our result extends classical results of Selberg for compact and nite-volume surfaces to this class of in nite-volume hyperbolic manifolds.

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تاریخ انتشار 2000