D'un résultat hilbertien à un principe de comparaison entre spectres. Applications

DOI10.24033/asens.1568zbMath0722.53037OpenAlexW2598760887MaRDI QIDQ5895388

Sylvestre Gallot, Daniel Meyer

Publication date: 1988

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1988_4_21_4_561_0

zbMATH Keywords

eigenvaluesBetti numbersHodge LaplacianNeumann eigenvaluesmanifolds with or without boundary

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items

Torus stability under Kato bounds on the Ricci curvature, Geometric inequalities for manifolds with Ricci curvature in the Kato class, Hodge-Laplace eigenvalues of convex bodies, Eigenvalue estimate for the rough Laplacian on differential forms, Eigenvalue and gap estimates for the Laplacian acting on 𝑝-forms, Number of bound states and estimates on some geometric invariants, Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds

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