Name: A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
Keywords: 53C15, Gromov hyperbolicity, Matemáticas, Negatively curved Riemannian surface, Riemannian surface, 53C21, 53C23, 53C22, negatively curved Riemannian surface

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2009 English Publisher:Universitat Autonoma de BarcelonaJournal:Publicacions Matemàtiques, volume 53, pages 83-110 (issn: 0214-1493,

Authors: Portilla, A.; Tourís, E.;

doi: 10.5565/publmat_53109_04

handle: 10016/6445

A characterization of Gromov hyperbolicity of surfaces with variable negative curvature

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Abstract

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.

Related Organizations

Carlos III University of Madrid
Spain
Autonomous University of Barcelona
Spain

Keywords

53C15, Gromov hyperbolicity, Matemáticas, Negatively curved Riemannian surface, Riemannian surface, 53C21, 53C23, 53C22, negatively curved Riemannian surface

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