THE HILBERT METRIC AND GROMOV HYPERBOLICITY

By Anders Karlsson, G. A. Noskov. 2001

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Free Subgroups of Groups with Nontrivial Floyd Boundary (2003, background): “It is a simple fact (see e.g. Karlsson and Noskov, 2002a) that ðzjwÞ dðe; ½z;w Þ for any geodesic segment [z, w].”
A characterization of Gromov hyperbolicity of surfaces with variable negative curvature (2009, background): “For example, the Gehring-Osgood metric ([24]) is always Gromov hyperbolic, and the Klein-Hilbert metric ([10], [29]) is also Gromov hyperbolic for certain domains.”
Convexes hyperboliques et fonctions quasisymétriques (2003, background): “Plus récemment, Karlsson et Noskov ont montré dans [11] les implications ∂Ω est C2 à Hessien défini positif ⇒ Ω est hyperbolique et Ω est hyperbolique ⇒ ∂Ω est C1.”
Birkhoff's version of Hilbert's metric and its applications in analysis (2013, background): “From the result by Karlsson and Noskov it follows that there exists a constant M > 0 such that δ(zni , z n j ) ≥ 2n−M for all i 6= j and n ≥ N0, where N0 is a sufficiently large integer.”
Around groups in Hilbert Geometry (2013, unknown): “2 (Benoist [8] - Karlsson-Noskov [49]).”