Behaviour of distance functions in Hilbert-Finsler geometry.

DOI10.1016/S0926-2245(03)00052-4zbMath1055.53057WikidataQ115337996 ScholiaQ115337996MaRDI QIDQ1422024

Edith Socié-Méthou

Publication date: 3 February 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

convexitydistanceFinsler manifoldHilbert geometry

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (7)

Optimal inequalities between distances in convex projective domains ⋮ ISOMETRIES OF POLYHEDRAL HILBERT GEOMETRIES ⋮ Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry ⋮ Convexity of asymptotic geodesics in Hilbert geometry ⋮ Lipschitz characterisation of polytopal Hilbert geometries ⋮ Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane ⋮ On convex projective manifolds and cusps

Cites Work

• The Klein, Hilbert and Poincaré metrics of a domain
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