Results 81 to 90 of about 119 (107)

Pseudoconvexity and Gromov hyperbolicity

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999
The authors give an estimate for the distance functions related to the Bergman, Carathéodory and Kobayashi metrics on a bounded strictly pseudoconvex domain with \(C^{2}\)-smooth boundary. This estimate relates the distance function on the domain with the Carnot-Carathéodory metric on the boundary.
Balogh, Zoltan M., Bonk, Mario
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THE HILBERT METRIC AND GROMOV HYPERBOLICITY

2002
Given a convex domain \(D\) in the Euclidean space, for any pair of points \(x\) and \(y\) in \(D\) let us denote by \(x^\prime\) and \(y^\prime\) the intersections of the line through \(x\) and \(y\) with the boundary of \(D\) closest to \(x\) and \(y\). The logarithm of the crossratio of these four points defines the Hilbert metric on \(D\): \(h(x,y)
Karlsson, Anders, Noskov, Guennadi A.
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Gromov Hyperbolicity in the Cartesian Sum of Graphs

Bulletin of the Iranian Mathematical Society, 2018
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Carballosa, W., de la Cruz, A., Rodríguez, J. M.   +2 more
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Gromov hyperbolicity of regular graphs.

Ars Comb., 2017
Summary: If \(X\) is a geodesic metric space and \(x_1,x_2,x_3\in X\), a geodesic triangle \(T=\{ x_1,x_2,x_3\}\) is the union of the three geodesics \([x_1x_2]\), \([x_2x_3]\) and \([x_3x_1]\) in \(X\). The space \(X\) is \(\delta\)-hyperbolic (in the Gromov sense) if any side of \(T\) is contained in a \(\delta\)-neighborhood of the union of the two ...
Juan Carlos Hernández-Gómez, José M. Rodríguez 0001, José María Sigarreta, Yadira Torres-Nuñez, María Villeta   +4 more
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Gromov hyperbolicity in the free quasiworld. II

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
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Qingshan Zhou, Saminathan Ponnusamy, Qianghua Luo   +2 more
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Comparison Between a Gromov Hyperbolic Metric and the Hyperbolic Metric

Computational Methods and Function Theory, 2018
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Upper bound on scaled Gromov-hyperbolic δ

Applied Mathematics and Computation, 2007
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Edmond A. Jonckheere, Poonsuk Lohsoonthorn, Fariba Ariaei   +2 more
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The Nikolov–Andreev Metric and Gromov Hyperbolicity

Mediterranean Journal of Mathematics
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Luo, Qianghua, Rasila, Antti, Wang, Ye, Zhou, Qingshan   +3 more
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Topological stability and Gromov hyperbolicity

Ergodic Theory and Dynamical Systems, 1999
We show that if the geodesic flow of a compact analytic Riemannian manifold $M$ of non-positive curvature is either $C^{k}$-topologically stable or satisfies the $\epsilon$-$C^{k}$-shadowing property for some $k > 0$ then the universal covering of $M$ is a Gromov hyperbolic space. The same holds for compact surfaces without conjugate points.
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Gromov Hyperbolicity of the Kobayashi Metric

2020
In this paper we discuss the global geometry of the Kobayashi metric on domains in C^n. We gather all known results. We pay special attention to methods which distroy the hyperbolicity. 2010 Mathematics Subject Classification: 32F45, 53C23.
Andreev, Lyubomir, Nikolov, Nikolai, Trybula, Maria   +2 more
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