Revistes Catalanes amb Accés Obert (RACO)

A characterization of Gromov hyperbolicity of surfaces with variable negative curvature

A. Portilla, E. Tourís

Resum


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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