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math.MG2008★ 24 cited
Hilbert geometry for convex polygonal domains
Bruno Colbois, Constantin Vernicos, Patrick Verovic
We prove in this paper that the Hilbert geometry associated with an open convex polygonal set is Lipschitz equivalent to Euclidean plane.
math.MG2008★ 4 cited
Hilbert domains quasi-isometric to normed vector spaces
Bruno Colbois, Patrick Verovic
We prove that a Hilbert domain which is quasi-isometric to a normed vector space is actually a convex polytope.