Results 131 to 132 of about 435 (132)

Topological stability and Gromov hyperbolicity

Ergodic Theory and Dynamical Systems, 1999
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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Characterization of Gromov hyperbolic short graphs

Acta Mathematica Sinica, English Series, 2013
To decide when a graph is Gromov hyperbolic is, in general, a very hard problem. In this paper, we solve this problem for the set of short graphs (in an informal way, a graph G is r-short if the shortcuts in the cycles of G have length less than r): an r-short graph G is hyperbolic if and only if S 9r (G)
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