# Prescription de la multiplicité des valeurs propres du laplacien de Hodge-de Rham - Mathematics > Differential Geometry

Prescription de la multiplicité des valeurs propres du laplacien de Hodge-de Rham - Mathematics > Differential Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: On any compact manifold of dimension greater than 6, we prescribe the volumeand any finite part of the spectrum Hodge Laplacian acting on $p$-form for$1\leq p<\frac n2$. In particular, we prescribe the multiplicity of the firsteigenvalues.

Author: Pierre Jammes

Source: https://arxiv.org/