Graphs and Gromov hyperbolicity of non-constant negatively curved surfaces |
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| Authors: | Eva Tourí s |
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| Affiliation: | Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain |
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| Abstract: | In this paper we obtain the equivalence of the Gromov hyperbolicity between an extensive class of complete Riemannian surfaces with pinched negative curvature and certain kind of simple graphs, whose edges have length 1, constructed following an easy triangular design of geodesics in the surface. |
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| Keywords: | Gromov hyperbolicity Gromov hyperbolic graph Hyperbolic geometry Riemannian surface Pinched negative curvature |
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