1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2005
Stabilite de Faber-Krahn en courbure de Ricci positive
Jerome Bertrand
P. Berard and D. Meyer proved a Faber-Krahn inequality for domains in compact manifolds with positive Ricci curvature. We prove stability results for this inequality.
math.DG2005
Pincement spectral en courbure de Ricci positive
Jerome Bertrand
We show that for n dimensional manifolds whose the Ricci curvature is greater or equal to n-1 and for k in {1,...,n+1}, the k-th eigenvalue for the Laplacian is close to n if and o…
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…