Hilbert geometry of polytopes

Abstract

It is shown that the Hilbert metric on the interior of a convex polytope is bilipschitz to a normed vector space of the same dimension.

11 pages, minor changes, to appear in Archiv Math

Cited by in corpus (3)

• Entropies of compact strictly convex projective manifolds
• Lipschitz Characterisation of Polytopal Hilbert Geometries
• Hilbert domains quasi-isometric to normed vector spaces