Splitting the Spectrum of a Riemannian Manifold

DOI10.1137/0511072zbMath0449.58021OpenAlexW1971701874WikidataQ115247162 ScholiaQ115247162MaRDI QIDQ3896283

David D. Bleecker, Leslie Charles Wilson

Publication date: 1980

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0511072

zbMATH Keywords

simplicity of eigenvalues of the Laplacian on a Riemannian manifoldsplitting multiple eigenvalues

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (10)

Minimal hypersurfaces with small first eigenvalue in manifolds of positive Ricci curvature ⋮ The multiplicity of eigenvalues of the Hodge Laplacian on 5-dimensional compact manifolds ⋮ Asymptotics for optimal design problems for the Schrödinger equation with a potential ⋮ On the multiplicity of eigenvalues of conformally covariant operators ⋮ Genericity of simple eigenvalues for a metric graph ⋮ On the generic spectrum of a Riemannian cover ⋮ Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products ⋮ Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds ⋮ Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds ⋮ Generic eigenvalue multiplicities for two-parameter families of operators

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