Rigidity of Hilbert metrics

DOI10.1017/S0004972700020025zbMath1007.53055MaRDI QIDQ4532570

Bruno Colbois, Patrick Verovic

Publication date: 16 March 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

geodesicsFinsler metricHilbert metricgeometry at infinity

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) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

Homogeneity, quasi-homogeneity and differentiability of domains. ⋮ Quasi-homogeneous domains and convex affine manifolds ⋮ A rigidity result for domains with a locally strictly convex point

Cites Work

• Curvature in Hilbert geometries
• Locally symmetric Finsler spaces in negative curvature
• Problème de l'entropie minimale pour les métriques de Finsler
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