Noncompact Riemannian manifolds with discrete spectra

DOI10.4310/jdg/1214434850zbMath0411.58022OpenAlexW1491871106WikidataQ115189307 ScholiaQ115189307MaRDI QIDQ1259343

Alberto Baider

Publication date: 1979

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214434850

zbMATH Keywords

elliptic operatorssurface of revolutionwarped productsspectrum of Laplacian of a Riemannian manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differential complexes (58J10) Variational methods for second-order elliptic equations (35J20)

Related Items (16)

Discreteness of the spectrum of the Laplacian and stochastic incompleteness ⋮ Discreteness conditions for the Laplacian on complete, non-compact Riemannian manifolds ⋮ On Oscillatory Elliptic Equations on Manifolds ⋮ The spectrum of the Martin-Morales-Nadirashvili minimal surfaces is discrete ⋮ On compact solvability of the operator of exterior derivation ⋮ Warped products with discrete spectra ⋮ A relation between growth and the spectrum of the Laplacian ⋮ Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves ⋮ Spectrum Estimates and Applications to Geometry ⋮ Spectral estimates for Riemannian submersions with fibers of basic mean curvature ⋮ The adiabatic limit of Schrödinger operators on fibre bundles ⋮ Riemannian submersions with discrete spectrum ⋮ Transplantation and isospectrality. I ⋮ On Schrödinger operators with discrete spectrum ⋮ On normal solvability of the operator of exterior derivation on a surface of revolution ⋮ On the spectrum of non-compact manifolds with finite volume

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