Gromov Hyperbolicity of Riemann Surfaces

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Gromov hyperbolic cubic graphs (2012, background): “The study of Gromov hyperbolicity of the quasihyperbolic and the Poincaré metrics is the subject of [1, 2, 7, 23–27, 39–41, 43–45].”
A characterization of Gromov hyperbolicity of surfaces with variable negative curvature (2009, background): “In [3], [30], [31], [32], [38], [40] there are results about the hyperbolicity of Riemannian surfaces.”
Gromov hyperbolicity in Cartesian product graphs (2010, background): “In particular, in [24, 27, 29, 30] it is proved the equivalence of the hyperbolicity of Riemannian manifolds and the hyperbolicity of a simple graph; hence, it is useful to know hyperbolicity criteria for graphs.”