A new characterization of Gromov hyperbolicity for negatively curved surfaces.

Rodríguez, José M., and Tourís, Eva. "A new characterization of Gromov hyperbolicity for negatively curved surfaces.." Publicacions Matemàtiques 50.2 (2006): 249-278. <http://eudml.org/doc/41587>.

@article{Rodríguez2006,
abstract = {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.},
author = {Rodríguez, José M., Tourís, Eva},
journal = {Publicacions Matemàtiques},
keywords = {Superficies Riemann; Espacios hiperbólicos; Curvatura; Geodésicas; Riemann surface; Rips condition},
language = {eng},
number = {2},
pages = {249-278},
title = {A new characterization of Gromov hyperbolicity for negatively curved surfaces.},
url = {http://eudml.org/doc/41587},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Rodríguez, José M.
AU - Tourís, Eva
TI - A new characterization of Gromov hyperbolicity for negatively curved surfaces.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 2
SP - 249
EP - 278
AB - 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.
LA - eng
KW - Superficies Riemann; Espacios hiperbólicos; Curvatura; Geodésicas; Riemann surface; Rips condition
UR - http://eudml.org/doc/41587
ER -