Eigenvalue estimate for the rough Laplacian on differential forms
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Publication:981657
DOI10.1007/s00229-010-0352-6zbMath1193.35111OpenAlexW2050884016MaRDI QIDQ981657
Publication date: 2 July 2010
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-010-0352-6
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Metric geometry (51F99) Global differential geometry (53C99)
Related Items (3)
Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results ⋮ Some classes of harmonic functions on vector bundles ⋮ A Cheeger-like inequality for coexact 1-forms
Cites Work
- Upper bounds for eigenvalues of conformal metrics
- Discretization of vector bundles and rough Laplacian
- Eigenvalues estimate for the Neumann problem of a bounded domain
- Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
- Extremal eigenvalues of the Laplacian in a conformal class of metrics: the `conformal spectrum'
- From vanishing theorems to estimating theorems: the Bochner technique revisited
- A note on the isoperimetric constant
- Riemannian Metrics with Large λ 1
- Une inégalité du type Payne-Polya-Weinberger pour le laplacien brut
- Riemannian Metrics with Large First Eigenvalue on Forms of Degree p
- D'un résultat hilbertien à un principe de comparaison entre spectres. Applications
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