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

DOI10.24033/asens.1568zbMath0673.58045OpenAlexW2598760887MaRDI QIDQ5903965

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=?id=ASENS_1988_4_21_4

zbMATH Keywords

Betti numberseigenvalues of the Hodge-De Rham-Laplacianspectrum of a self-adjoint operator

Mathematics Subject Classification ID

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

Cites Work

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• Pinching implies strong pinching
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• A general comparison theorem with applications to volume estimates for submanifolds
• Sur les hypersurfaces minimales des variétés riemanniennes à courbure de Ricci positive ou nulle
• On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold

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