On the \(L^p\) independence of the spectrum of the Hodge Laplacian on non-compact manifolds

DOI10.1016/j.jfa.2004.11.003zbMath1083.58026OpenAlexW1999732437MaRDI QIDQ557034

Nelia Charalambous

Publication date: 23 June 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.11.003

zbMATH Keywords

Ricci curvatureHodge LaplacianBochner techniquesubexponential volume growth

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (9)

Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ \(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces ⋮ On the equivalence of heat kernel estimates and logarithmic Sobolev inequalities for the Hodge Laplacian ⋮ The spectrum of continuously perturbed operators and the Laplacian on forms ⋮ Solutions of the Equation of a Spinorial Yamabe-type Problem on Manifolds of Bounded Geometry ⋮ Heat kernel estimates and the essential spectrum on weighted manifolds ⋮ On the essential spectrum of complete non-compact manifolds ⋮ On the \(L^p\) independence of the spectrum of the Hodge Laplacian on non-compact manifolds ⋮ On the \(L^p\) spectrum of the Dirac operator

Cites Work

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