A new characterization of Gromov hyperbolicity for negatively curved surfaces.
Rodríguez, José M. ; Tourís, Eva
Publicacions Matemàtiques, Tome 50 (2006), p. 249-278 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2006-01-01
DMLE-ID : 4092 
@article{urn:eudml:doc:41587,
     title = {A new characterization of Gromov hyperbolicity for negatively curved surfaces.},
     journal = {Publicacions Matem\`atiques},
     volume = {50},
     year = {2006},
     pages = {249-278},
     zbl = {1111.53033},
     mrnumber = {MR2273661},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41587}
}

Rodríguez, José M.; Tourís, Eva. A new characterization of Gromov hyperbolicity for negatively curved surfaces.. Publicacions Matemàtiques, Tome 50 (2006) pp. 249-278. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41587/