RT Journal Article
T1 Gromov hyperbolicity of Riemann surfaces
A1 Rodríguez, José M.
A1 Tourís, Eva
AB In this paper we study the hyperbolicity in the Gromov sense of Riemann surfaces. We deduce the hyperbolicity of a surface from the hyperbolicity of its "building block components". We also prove the equivalence between the hyperbolicity of a Riemann surface and the hyperbolicity of some graph associated with it. These results clarify how the decomposition of a Riemann surface into Y-pieces and funnels affects the hyperbolicity of the surface. The results simplify the topology of the surface and allow us to obtain global results from local information.
PB Springer
SN 1439-8516 (Print)
SN 1439-7617 (Online)
YR 2007
FD 2007-02
LK https://hdl.handle.net/10016/6451
UL https://hdl.handle.net/10016/6451
LA eng
NO 20 pages, no figures.-- MSC2000 codes: 30F, 30F20, 30F45.
NO MR#: MR2286916 (2007k:30080)
NO Zbl#: Zbl 1115.30050
NO The first author’s research is partially supported by a grant from DGI (BFM 2003-04870), Spain. The second author’s research is partially supported by a grant from DGI (BFM 2000-0022), Spain.
DS e-Archivo
RD 19 may. 2024