24 citations · 30 across the 8 of their papers we have counts for
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math.DG2012★ 1 cited
Laplacian and spectral gap in regular Hilbert geometries
Thomas Barthelmé, Bruno Colbois, Mickaël Crampon +1
We study the spectrum of the Finsler--Laplace operator for regular Hilbert geometries, defined by convex sets with boundaries. We show that for an -dimensional geometry, t…
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.