Sur le spectre des fibrés en tore qui s'effondrent. (On the spectrum of collapsing torus bundles.)

DOI10.1007/s00229-002-0291-yzbMath1027.58006OpenAlexW2060360540MaRDI QIDQ1865660

Pierre Jammes

Publication date: 27 March 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-002-0291-y

zbMATH Keywords

differential formsLaplaciancollapsingbounded curvaturesmall eigenvalues

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (5)

Petites valeurs propres des fibrés principaux en tores ⋮ Asymptotics of the spectrum of the Laplace operator on Riemannian sol-manifolds in the adiabatic limit ⋮ Collapsing, spectrum, and Diophantine properties of Riemannian flows ⋮ The gap of the eigenvalues for \(p\)-forms and harmonic \(p\)-forms of constant length ⋮ A Cheeger-like inequality for coexact 1-forms

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