‘Universal’ inequalities for the eigenvalues of the Hodge de Rham Laplacian |
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| Authors: | Said Ilias Ola Makhoul |
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| Institution: | 1.Laboratoire de Mathématiques et Physique Théorique, UMR-CNRS 6083,Université Fran?ois rabelais de Tours,Tours,France |
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| Abstract: | We obtain ‘universal’ inequalities for the eigenvalues of the Laplacian acting on differential forms of a Euclidean compact
submanifold. These inequalities generalize the Yang inequality concerning the eigenvalues of the Dirichlet Laplacian of a
bounded Euclidean domain.
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| Keywords: | Eigenvalues Hodge de Rham Laplacian Universal inequalities Submanifolds |
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