Ana Portilla , Eva Tourís
In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K < -k2 < 0, we just need to verify the Rips condition on a very small class of triangles, namely, those contained in simple closed geodesics. This result is, in fact, a new characterization of Gromov hyperbolicity for this kind of surfaces.
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