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arXiv · 0804.0104

Prescription de la multiplicit\'e des valeurs propres du laplacien de Hodge-de Rham

Pierre Jammes
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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 $1\leq p<\frac n2$. In particular, we prescribe the multiplicity of the first eigenvalues.

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Pierre Jammes. 2008-04-01. Prescription de la multiplicit\'e des valeurs propres du laplacien de Hodge-de Rham. https://doi.org/10.4171/cmh/245

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