Name: A new characterization of Gromov hiperbolicity for negatively curved surfaces
Keywords: Gromov hyperbolicity, Riemann surface, Matemáticas, Closed geodesic

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2006 English Publisher:Universitat Autonoma de BarcelonaJournal:Publicacions Matemàtiques, volume 50, pages 249-278 (issn: 0214-1493,

Authors: Rodríguez, J. M.; Tourís, E.;

doi: 10.5565/publmat_50206_01

handle: 10016/6447

A new characterization of Gromov hiperbolicity for negatively curved surfaces

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Abstract

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.

Related Organizations

Complutense University of Madrid
Spain
Carlos III University of Madrid
Spain
Autonomous University of Barcelona
Spain

Keywords

Gromov hyperbolicity, Riemann surface, Matemáticas, Closed geodesic

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