RT Journal Article
T1 A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
A1 Portilla, Ana
A1 Tourís, Eva
AB In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature $K \leq -k^2 < 0$, 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.
PB Universitat Autònoma de Barcelona, Departament de Matemàtiques
SN 0214-1493
YR 2009
FD 2009
LK https://hdl.handle.net/10016/6445
UL https://hdl.handle.net/10016/6445
LA eng
NO 18 pages, 4 figures.-- MSC2000 codes: 53C15, 53C21, 53C22, 53C23.
NO MR#: MR2474116 (2009k:53091)
NO Zbl#: Zbl 1153.53320
NO Research partially supported by three grants from M.E.C. (MTM 2006-13000-C03-02, MTM 2006-11976 and MTM 2006-26627-E), and a grant from U.C.IIIM./C.A.M. (CCG07-UC3M/ESP-3339), Spain.
DS e-Archivo
RD 31 may. 2024