Convergence de variétés et convergence du spectre du laplacien
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Publication:3988722
DOI10.24033/asens.1634zbMath0754.58040OpenAlexW2510187658MaRDI QIDQ3988722
Bruno Colbois, Gilles Courtois
Publication date: 28 June 1992
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_1991_4_24_4_507_0
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (11)
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case ⋮ Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds ⋮ Weyl-type bounds for Steklov eigenvalues ⋮ On diagrammatic bounds of knot volumes and spectral invariants ⋮ Spectral geometry, link complements and surgery diagrams ⋮ Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian ⋮ Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains ⋮ Eigenvalues of Dirac operators for hyperbolic degenerations ⋮ A Cheeger-like inequality for coexact 1-forms ⋮ Collapsing of connected sums and the eigenvalues of the Laplacian ⋮ The \(p\)-spectrum of the Laplacian on compact hyperbolic three manifolds
Cites Work
- Pure point spectrum and negative curvature for noncompact manifolds
- Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
- Potential and scattering theory on wildly perturbed domains
- Les valeurs propres inférieures à 1/4 des surfaces de Riemann de petit rayon d'injectivité. (Eigenvalues smaller than 1/4 of Riemann surfaces with small injectivity radius)
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