A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
Portilla, Ana (Universidad Carlos III de Madrid. Departamento de Matemáticas)
Tourís, Eva (Universidad Carlos III de Madrid. Departamento de Matemáticas)

Date:	2009
Abstract:	In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K≤ −k² < 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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Gromov hyperbolicity ; Riemannian surface ; Negatively curved Riemannian surface
Published in:	Publicacions matemàtiques, V. 53 n. 1 (2009) p. 83-110, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/140648
DOI: 10.5565/PUBLMAT_53109_04

28 p, 272.9 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles