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- W2788572794 abstract "We propose a definition for the length of closed geodesics in a globally hyperbolic maximal compact (GHMC) Anti-De Sitter manifold. We then prove that the number of closed geodesics of length less than $R$ grows exponentially fast with $R$ and the exponential growth rate is related to the critical exponent associated to the two hyperbolic surfaces coming from Mess parametrization. We get an equivalent of three results for quasi-Fuchsian manifolds in the GHMC setting : R. Bowen's rigidity theorem of critical exponent, A. Sanders' isolation theorem and C. McMullen's examples lightening the behaviour of this exponent when the surfaces range over Teichmuller space." @default.
- W2788572794 created "2018-03-06" @default.
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- W2788572794 date "2015-03-31" @default.
- W2788572794 modified "2023-09-27" @default.
- W2788572794 title "Behaviour of critical exponent" @default.
- W2788572794 hasPublicationYear "2015" @default.
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