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

页码：249 / 278

页数：30

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