4 papers
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…
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
Extremal eigenvalues of the Laplacian in a conformal class of metrics : the "conformal spectrum"
Bruno Colbois, Ahmad El Soufi
Let be a compact connected manifold of dimension endowed with a conformal class of Riemannian metrics of volume one. For any integer , we consider the conformal…
Eigenvalues of the Laplacian acting on -forms and metric conformal deformations
Bruno Colbois, Ahmad El Soufi
Let be a compact connected orientable Riemannian manifold of dimension and let be the -th positive eigenvalue of the Laplacian …