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A characterization of Gromov hyperbolicity of surfaces with variable negative curvature

A characterization of Gromov hyperbolicity of surfaces with variable negative curvature

In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K ≤ -k 2 < 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 …