A Characterization of Gromov Hyperbolicity of Surfaces with Variable Negative Curvature Articles uri icon

authors

  • PORTILLA FERREIRA, ANA
  • TOURIS LOJO, EVA

publication date

  • June 2009

start page

  • 83

end page

  • 110

issue

  • 1

volume

  • 53

International Standard Serial Number (ISSN)

  • 0214-1493

abstract

  • 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.