A CHARACTERIZATION OF GROMOV HYPERBOLICITY OF SURFACES WITH VARIABLE NEGATIVE CURVATURE

被引：50
|
作者：
Portilla, Ana [1 ]
Touris, Eva [1 ]
机构：
[1] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain
来源：
PUBLICACIONS MATEMATIQUES | 2009年 / 53卷 / 01期
关键词：
Gromov hyperbolicity; Riemannian surface; negatively curved Riemannian surface; RIEMANN SURFACES; HARMONIC-FUNCTIONS; ROUGH ISOMETRIES; INFINITE TYPE; MANIFOLDS; SPACES; DECOMPOSITION; INEQUALITIES; METRICS; DOMAINS;
D O I：
10.5565/PUBLMAT_53109_04
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K <= -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.
引用
收藏
页码：83 / 110
页数：28
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