Revistes Catalanes amb Accés Obert (RACO)

A characterization of Gromov hyperbolicity of surfaces with variable negative curvature

A. Portilla, E. Tourís
DOI: 140648

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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