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Construction de valeurs propres doubles du laplacien de Hodge-de Rham

Pierre Jammes
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Abstract

On any compact manifold of dimension greater than 3, we exhibit a metric whose first positive eigenvalue for the Laplacian acting on p-form is of multiplicity 2. As a corollary, we prescribe the volume and any finite part of the spectrum of the Hodge Laplacian with multiplicity 1 or 2.

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Pierre Jammes. 2006-08-30. Construction de valeurs propres doubles du laplacien de Hodge-de Rham. https://doi.org/10.1007/s12220-009-9079-6

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