Hilbert domains quasi-isometric to normed vector spaces

Abstract

We prove that a Hilbert domain which is quasi-isometric to a normed vector space is actually a convex polytope.

References in corpus (2)

• Hilbert geometry for convex polygonal domains
• Hilbert geometry of polytopes

Cited by in corpus (2)

• On the Hilbert Geometry of Convex Polytopes
• Lipschitz Characterisation of Polytopal Hilbert Geometries