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- W2949676898 abstract "In this note, we study the dynamics and associated Zeta functions of conformally compact manifolds with variable negative sectional curvatures. We begin with a discussion of a larger class of manifolds known as <italic>convex co-compact manifolds with variable negative curvature</italic>. Applying results from dynamics on these spaces, we obtain optimal meromorphic extensions of weighted dynamical Zeta functions and asymptotic counting estimates for the number of weighted closed geodesics. A meromorphic extension of the standard dynamical Zeta function and the <italic>prime orbit theorem</italic> follow as corollaries. Finally, we investigate interactions between the dynamics and spectral theory of these spaces." @default.
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- W2949676898 date "2014-11-24" @default.
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- W2949676898 title "Dynamics and Zeta functions on conformally compact manifolds" @default.
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- W2949676898 doi "https://doi.org/10.1090/s0002-9947-2014-05999-0" @default.
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