Construction de valeurs propres doubles du laplacien de Hodge-de Rham
arXiv:math/0608758 · doi:10.1007/s12220-009-9079-6
Abstract
On any compact manifold of dimension greater than 3, we exhibit a metric whose first positive eigenvalue for the Laplacian acting on p-form is of multiplicity 2. As a corollary, we prescribe the volume and any finite part of the spectrum of the Hodge Laplacian with multiplicity 1 or 2.
14 pages, 4 figures, in french. v2: new examples