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  • Publication
    Métadonnées seulement
    Eigenvalue estimate for the rough Laplacian on differential forms
    (2010-2-21) ;
    Maerten, Daniel
    We study the spectrum of the rough Laplacian acting on differential forms on a compact Riemannian manifold (M,g). We first construct on M metrics of volume 1 whose spectrum is as large as desired. Then, provided that the Ricci curvature of g is bounded below, we relate the spectrum of the rough Laplacian on 1--forms to the spectrum of the Laplacian on functions, and derive some upper bound in agreement with the asymptotic Weyl law.