Commentarii Mathematici Helvetici


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Volume 86, Issue 4, 2011, pp. 967–984
DOI: 10.4171/CMH/245

Published online: 2011-09-22

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

Pierre Jammes[1]

(1) Université Nice - Sophia Antipolis, France

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

Keywords: Hodge Laplacian, differential forms, multiplicity of eigenvalues

Jammes Pierre: Prescription de la multiplicité des valeurs propres du laplacien de Hodge–de Rham. Comment. Math. Helv. 86 (2011), 967-984. doi: 10.4171/CMH/245