Results 1 to 10 of about 3,724 (168)
Gromov hyperbolic cubic graphs
Open Mathematics, 2012 Abstract If X is a geodesic metric space and x 1; x 2; x 3 ∈ X, a geodesic triangle T = {x 1; x 2; x 3} is the union of the three geodesics [x 1 x
Pestana Domingo +3 more
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Hyperbolic Unfoldings of Minimal Hypersurfaces
Analysis and Geometry in Metric Spaces, 2018 We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
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Structural stability of meandering-hyperbolic group actions [PDF]
, 2021 In his 1985 paper Sullivan sketched a proof of his structural stability theorem for group actions satisfying certain expansion-hyperbolicity axioms. In this paper we relax Sullivan's axioms and introduce a notion of meandering hyperbolicity for group ...
Kapovich, Michael +2 more
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Uniform hyperbolicity of the curve graph via surgery sequences [PDF]
, 2013 We prove that the curve graph $\calC^{(1)}(S)$ is Gromov-hyperbolic with a constant of hyperbolicity independent of the surface $S$. The proof is based on the proof of hyperbolicity of the free splitting complex by Handel and Mosher, as interpreted by ...
Clay, Matt, Rafi, Kasra, Schleimer, Saul
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A characterization of Gromov hyperbolicity of surfaces with variable negative curvature [PDF]
, 2009 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,
Portilla, Ana, Tourís, Eva
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, 2015 We propose the metric notion of strong hyperbolicity as a way of obtaining hyperbolicity with sharp additional properties. Specifically, strongly hyperbolic spaces are Gromov hyperbolic spaces that are metrically well-behaved at infinity, and, under weak
Nica, Bogdan, Spakula, Jan
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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.
Portilla, Ana +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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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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A Cartan-Hadamard type result for relatively hyperbolic groups [PDF]
, 2013 In this article, we prove that if a finitely presented group has an asymptotic cone which is tree-graded with respect to a precise set of pieces then it is relatively hyperbolic. This answers a question of M.
Coulon, Rémi +2 more
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