Construction de valeurs propres doubles du laplacien de Hodge-de Rham
Differential Geometry
2014-09-10 v2 Spectral Theory
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.
Cite
@article{arxiv.math/0608758,
title = {Construction de valeurs propres doubles du laplacien de Hodge-de Rham},
author = {Pierre Jammes},
journal= {arXiv preprint arXiv:math/0608758},
year = {2014}
}
Comments
14 pages, 4 figures, in french. v2: new examples