Results 111 to 120 of about 17,964 (136)

Gromov hyperbolicity of the Hilbert distance

Annals of Global Analysis and Geometry, 2021
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Fathi Haggui, Houcine Guermazi
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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 Johnson and Kneser graphs [PDF]

Aequationes Mathematicae
The concept of Gromov hyperbolicity is a geometric concept that leads to a rich general theory. Johnson and Kneser graphs are interesting combinatorial graphs defined from systems of sets.
José María Sigarreta Almira, José M Rodríguez   +1 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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