Prescription de la multiplicite des valeurs propres du laplacien de Hodge-e Rham

摘要

On any compact manifold of dimension greater than 6, we prescribe the volume and any finite part of the spectrum of the Hodge Laplacian acting on p-form for 1 ≤ p ＜ n/2. In particular, we prescribe the multiplicity of the first eigenvalues.