Results 11 to 20 of about 17,194 (132)
Gromov hyperbolicity and quasihyperbolic geodesics [PDF]
Annales scientifiques de l'École normale supérieure, 2014 We characterize Gromov hyperbolicity of the quasihyperbolic metric space (Ω,k) by geometric properties of the Ahlfors regular length metric measure space (Ω,d,μ). The characterizing properties are called the Gehring--Hayman condition and the ball--separation condition.
Lammi, Päivi +3 more
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Gromov hyperbolicity of Denjoy Domains [PDF]
Geometriae Dedicata, 2006 In this paper we characterize the Gromov hyperbolicity of the double of a metric space. This result allows to give a characterization of the hyperbolic Denjoy domains, in terms of the distance to $\Bbb{R}$ of the points in some geodesics. In the particular case of trains (a kind of Riemann surfaces which includes the flute surfaces), we obtain more ...
Alvarez, Venancio +3 more
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On the Gromov hyperbolicity of the minimal metric [PDF]
Mathematische ZeitschriftAbstractIn this paper, we study the hyperbolicity in the sense of Gromov of domains in $$\mathbb {R}^d$$ R d $$(d\ge 3)$$ ( d ≥
Fiacchi, Matteo
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Detours and Gromov hyperbolicity [PDF]
, 2008 The notion of Gromov hyperbolicity was introduced by Gromov in the setting of geometric group theory [G1], [G2], but has played an increasing role in analysis on general metric spaces [BHK], [BS], [BBo], [BBu], and extendability of Lipschitz mappings [L].
Buckley, Stephen M. +1 more
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A new characterization of Gromov hyperbolicity for negatively curved surfaces [PDF]
, 2006 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
Tourís, E. +5 more
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Embeddings of Gromov Hyperbolic Spaces [PDF]
Geometric And Functional Analysis, 2000 To state the main result of the paper we start with two definitions: A metric space \(X\) has ``bounded growth at some scale'' if there are constants \(R>r>0\) and a positive integer \(N\) such that every open ball of radius \(R\) in \(X\) can be covered by \(N\) open balls of radius \(r\). A metric space \(X\) is ``roughly similar'' to a metric space \
Bonk, M., Schramm, O.
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Discrete Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio Bermudo +3 more
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The role of funnels and punctures in the Gromov hyperbolicity of Riemann surfaces [PDF]
, 2006 27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031We prove results on geodesic metric spaces which guarantee that some spaces are not hyperbolic in the Gromov sense.
Tourís, Eva +2 more
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Mathematical Properties of the Hyperbolicity of Circulant Networks
Advances in Mathematical Physics, 2015 If X is a geodesic metric space and x1,x2,x3∈X, a geodesic triangle T={x1,x2,x3} is the union of the three geodesics [x1x2], [x2x3], and [x3x1] in X.
Juan C. Hernández +2 more
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The hyperbolicity constant of infinite circulant graphs
Open Mathematics, 2017 If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X.
Rodríguez José M., Sigarreta José M.
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