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

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

2006-08-30

arxiv.org/abs/math/0608758v2

Mathematics

Differential Geometry

14 pages, 4 figures, in french. v2: new examples

Scientific paper

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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