Eigenforms of the laplacian on complete riemannian manifolds

DOI10.1080/03605308408820364zbMath0552.58027OpenAlexW1997783924MaRDI QIDQ3345474

Harold Donnelly

Publication date: 1984

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308408820364

zbMATH Keywords

Laplace operatorgeodesic ballessential spectrumheat kernelcomplete Riemannian manifoldeigenform

Mathematics Subject Classification ID

Differential complexes (58J10)

Related Items (6)

Lower bounds for eigenfunctions on Riemannian manifolds ⋮ Essential spectrum and heat kernel ⋮ Spectral approximation by \(L_ 2\) discretization of the Laplace operator on manifolds of bounded geometry ⋮ Remarks on harmonic forms and proper functions on a Riemannian variety ⋮ Manifolds with a weighted Poincaré inequality ⋮ The Module Structure Theorem for Sobolev Spaces on Open Manifolds

Cites Work

• On the essential spectrum of a complete Riemannian manifold
• On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
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