29 citations · 149 across the 40 of their papers we have counts for
Showing 2008Show all
3 papers · 1 filter
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.
math.DG2008
Eigenvalues estimate for the Neumann problem on bounded domains
Bruno Colbois, Daniel Maerten
In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a bounded domain (with smooth boundary) in a given complete (not compact a priori)…