Hilbert geometry for strictly convex domains

DOI10.1023/B:GEOM.0000024687.23372.b0zbMath1078.52002OpenAlexW2050063200MaRDI QIDQ1827414

Patrick Verovic, Bruno Colbois

Publication date: 6 August 2004

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:geom.0000024687.23372.b0

zbMATH Keywords

convex setFinsler spacemetric geometry

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Non-Euclidean differential geometry (53A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (14)

Hyperbolic convexes and quasiisometries. ⋮ On the entropy of Hilbert geometries of low regularities ⋮ Hilbert geometry for convex polygonal domains ⋮ Two properties of volume growth entropy in Hilbert geometry ⋮ Laplacian and spectral gap in regular Hilbert geometries ⋮ Lyapunov exponents in Hilbert geometry ⋮ Asymptotics of convex sets in Euclidean and hyperbolic spaces ⋮ Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry ⋮ Hilbert domains that admit a quasi-isometric embedding into Euclidean space ⋮ Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry ⋮ On the Hilbert geometry of products ⋮ Lipschitz characterisation of polytopal Hilbert geometries ⋮ Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane ⋮ Gromov hyperbolicity of the Hilbert distance

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