A characterization of Gromov hyperbolicity of surfaces with variable negative curvature

• Autores: Ana Portilla, Eva Tourís
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 53, Nº 1, 2009, págs. 83-110
• Idioma: inglés
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• Resumen

  • 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.