4 citations · 5 across the 3 of their papers we have counts for
3 papers
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.
math.DG2007
Some smooth Finsler deformations of hyperbolic surfaces
Bruno Colbois, Florence Newberger, Patrick Verovic
Given a closed hyperbolic Riemannian surface, the aim of the present paper is to describe an explicit construction of smooth deformations of the hyperbolic metric into Finsler metr…
math.DG2006★ 1 cited
Area of ideal triangles and Gromov hyperbolicity in Hilbert Geometry
B. Colbois, C. Vernicos, P. Verovic
We prove, in the context of Hilbert geometry, the equivalence between the existence of an upper bound on the area of ideal triangles and the Gromov-hyperbolicity.