Prescription de la multiplicité des valeurs propres du laplacien de Hodge-de Rham

Abstract

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

19 pages, in french

References in corpus (1)

• Prescribing eigenvalues of the Dirac operator

Cited by in corpus (7)

• Prescription du spectre de Steklov dans une classe conforme
• Dirac Eigenvalues of higher Multiplicity
• Approximating orbifold spectra using collapsing connected sums
• The spectra of digraphs with Morita equivalent $C^{\ast }$-algebras
• Existence of Dirac Eigenvalues of higher Multiplicity
• Small eigenvalues of the rough and Hodge Laplacians under fixed volume
• P-spectrum and collapsing of connected sums, calculus of the limit