`Universal' inequalities for the eigenvalues of the Hodge de Rham Laplacian

DOI10.1007/S10455-009-9158-8zbMath1178.35277OpenAlexW2054520690WikidataQ125103483 ScholiaQ125103483MaRDI QIDQ836955

Said Ilias, Ola Makhoul

Publication date: 9 September 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-009-9158-8

zbMATH Keywords

eigenvaluessubmanifoldsuniversal inequalitiesHodge de Rham Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential forms in global analysis (58A10)

Related Items (2)

Inequalities for eigenvalues of the buckling problem of arbitrary order ⋮ A generalization of a Levitin and Parnovski universal inequality for eigenvalues

Cites Work

• Minimal submanifolds with a parallel or a harmonic \(p\)-form
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• An Estimate on the Ricci Curvature of a Submanifold and Some Applications
• Extrinsic Upper Bounds for Eigenvalues of Dirac-Type Operators
• On trace identities and universal eigenvalue estimates for some partial differential operators
• On the Ratio of Consecutive Eigenvalues in N‐Dimensions
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