On the Hilbert geometry of products

DOI10.1090/S0002-9939-2015-12504-XzbMath1319.53084arXiv1109.0187OpenAlexW2963664366MaRDI QIDQ5246938

Constantin Vernicos

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0187

zbMATH Keywords

convex setsamenabilitybi-Lipschitzvolume entropy

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Rigidity results (53C24) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Projective differential geometry (53A20)

Cites Work

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• Hilbert geometry for convex polygonal domains
• Hyperbolic convexes and quasiisometries.
• Entropies of strictly convex projective manifolds
• Volume entropy of Hilbert geometries
• Hilbert geometry of polytopes
• Hilbert geometry for strictly convex domains
• Hilbert geometries have bounded local geometry
• The area of ideal triangles in Hilbert geometry
• 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
• Spectral Radius and Amenability in Hilbert Geometries

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