Lipschitz characterisation of polytopal Hilbert geometries

zbMath1331.52019arXiv0812.1032MaRDI QIDQ2341655

Constantin Vernicos

Publication date: 27 April 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.1032

zbMATH Keywords

Hilbert geometryfinite-dimensional convex polytopesbi-Lipschitz equivalent

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Metric geometry (51F99)

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Cites Work

• Unnamed Item
• Hilbert geometry for convex polygonal domains
• Hilbert metrics and Minkowski norms
• Hyperbolic convexes and quasiisometries.
• Volume entropy of Hilbert geometries
• Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry
• Hilbert geometry of polytopes
• The Hilbert metric and Gromov hyperbolicity.
• Behaviour of distance functions in Hilbert-Finsler geometry.
• Hyperbolic convex sets and quasisymmetric functions
• Hilbert geometry for strictly convex domains
• Hilbert geometries have bounded local geometry
• The Ptolemaic inequality in Hilbert geometries
• Hilbert domains that admit a quasi-isometric embedding into Euclidean space
• Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane
• Caractérisation des ellipsoïdes par leurs groupes d'automorphismes
• Asymptotic volume on Hilbert geometries
• Spectral Radius and Amenability in Hilbert Geometries