2 citations · 3 across the 2 of their papers we have counts for
2 papers
math.DG2005★ 1 cited
Capacite et inegalite de Faber-Krahn dans l'espace euclidien
Jerome Bertrand, Bruno Colbois
In this paper, we define a new capacity which allows us to control the behaviour of the Dirichlet spectrum of a compact Riemannian manifold with boundary, with "small" subsets (whi…
math.DG2004★ 2 cited
Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane
Bruno Colbois, Constantin Vernicos
We prove that the Hilbert geometry of a convex domain in the plane is Gromov hyperbolic, if, and only if, the bottom of its spectrum is not zero