A new characterization of Gromov hyperbolicity for negatively curved surfaces

被引：21
|
作者：
Rodriguez, Jose M. [1 ]
Touris, Eva [1 ]
机构：
[1] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain
来源：
PUBLICACIONS MATEMATIQUES | 2006年 / 50卷 / 02期
关键词：
Gromov hyperbolicity; hyperbolic Riemann surface; closed geodesic;
D O I：
10.5565/PUBLMAT_50206_01
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：249 / 278
页数：30
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