Isoperimetric control of the spectrum of a compact hypersurface
Résumé
Upper bounds for the eigenvalues of the Laplace-Beltrami operator on a hypersurface bounding a domain in some ambient Riemannian manifold are given in terms of the isoperimetric ratio of the domain. These results are applied to the extrinsic geometry of isometric embeddings.
Domaines
Géométrie métrique [math.MG]| Origine | Fichiers produits par l'(les) auteur(s) |
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