A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
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...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:49603 |
| Acceso en línea: | https://ddd.uab.cat/record/49603 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_04 |
| Access Level: | acceso abierto |
| Palabra clave: | Gromov hyperbolicity Riemannian surface Negatively curved Riemannian surface |
| Sumario: | 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. |
|---|