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Topological stability and Gromov hyperbolicity
Published online by Cambridge University Press: 01 February 1999
Abstract
We show that if the geodesic flow of a compact analytic Riemannian manifold $M$ of non-positive curvature is either $C^{k}$-topologically stable or satisfies the $\epsilon$-$C^{k}$-shadowing property for some $k > 0$ then the universal covering of $M$ is a Gromov hyperbolic space. The same holds for compact surfaces without conjugate points.
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- Research Article
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- 1999 Cambridge University Press
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