Spectral theory of complete Riemannian manifolds

DOI10.4310/PAMQ.2010.v6.n2.a7zbMath1232.58022OpenAlexW2323635792WikidataQ115163361 ScholiaQ115163361MaRDI QIDQ547850

Harold Donnelly

Publication date: 27 June 2011

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2010.v6.n2.a7

zbMATH Keywords

Laplace operatorembedded eigenvaluespectral stabilitynoncompact Riemannian manifoldsquare integrable eigenform

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of symmetric spaces (53C35) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (4)

Growth of the eigensolutions of Laplacians on Riemannian manifolds. II: Positivity of the initial energy ⋮ Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case ⋮ Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian ⋮ Manifolds with cylindrical ends having a finite and positive number of embedded eigenvalues

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