A new characterization of Gromov hyperbolicity for negatively curved surfaces

• Autores: José Manuel Rodríguez García , Eva Tourís
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 50, Nº 2, 2006, págs. 249-278
• Idioma: español
• DOI: 10.5565/publmat_50206_01
• Enlaces
  • Texto completo
• Resumen

  • In this paper we show that to check Gromov hyperbolicity of any surface of constant negative curvature, or, Riemann surface, we only need to verify the Rips condition on a very small class of triangles, namely, those obtained by marking three points in a simple closed geodesic. This result is, in fact, a new characterization of Gromov hyperbolicity for Riemann surfaces.