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Colbois, Bruno
Nom
Colbois, Bruno
Affiliation principale
Fonction
Professeur ordinaire
Email
Bruno.Colbois@unine.ch
Identifiants
Résultat de la recherche
Voici les éléments 1 - 10 sur 73
- PublicationMétadonnées seulementArea of ideal triangles and Gromov hyperbolicity in Hilbert Geometry(2008)
; - PublicationMétadonnées seulement
- PublicationAccès libreLower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains(2021-3-26)
; Savo, Alessandro - PublicationMétadonnées seulementRigidity of Hilbert metrics(2002)
; Verovic, PatrickWe study the groups of isometries for Hilbert metrics on bounded open convex domains in R-n and show that if C is such a set with a strictly convex boundary, the Hilbert geometry is asymptotically Riemannian at infinity. As a consequence of this result, we prove there are no Hausdorff quotients of C by isometry subgroups with finite volume except when partial derivativeC is an ellipsoid. - PublicationMétadonnées seulement
- PublicationAccès libreEigenvalues upper bounds for the magnetic Schrödinger operator(2022-3-6)
; - PublicationAccès libreConformal upper bounds for the eigenvalues of the p-Laplacian(2021-12-4)
; Provenzano, Luigi - PublicationMétadonnées seulementA pinching theorem for the first eigenvalue of the Laplacian on hypersurfaces of the Euclidean space(2007)
; Grosjean, Jean-FrançoisIn this paper, we give pinching theorems for the first nonzero eigenvalue lambda(1) (M) of the Laplacian on the compact hypersurfaces of the Euclidean space. Indeed, we prove that if the volume of M is I then, for any epsilon > 0, there exists a constant C, depending on the dimension n of M and the L-infinity-norm of the mean curvature H, so that if the L-2p-norm parallel to H parallel to(2p) (p >= 2) of H satisfies n parallel to H parallel to(2)(2p)-C-epsilon < lambda(1) (M), then the Hausdorff-distance between M and a round sphere of radius (n/lambda(1) (M))(1/2) is smaller than epsilon. Furthermore, we prove that if C is a small enough constant depending on n and the L-infinity-norm of the second fundamental form, then the pinching condition n parallel to H parallel to(2)(2p)-C < lambda(1) (M) implies that M is diffeomorphic to an n-dimensional sphere. - PublicationMétadonnées seulementUniform stability of the Dirichlet spectrum for rough perturbations(2013-10-29)
; ; Iversen, Mette - PublicationMétadonnées seulementSmall Eigenvalues of the Laplacian on Negatively Curved Manifolds(1990-7-21)
; Dodziuk, Jozef