On the gap between the first eigenvalues of the Laplacian on functions and \(p\)-forms

DOI10.1023/A:1021294732338zbMath1021.58025OpenAlexW3001346658MaRDI QIDQ1868401

Junya Takahashi

Publication date: 27 April 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021294732338

zbMATH Keywords

spectrumLaplacian on formscomparison of eigenvaluescollapsing Riemannian manifoldsparallel forms

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43)

Related Items (5)

Lefschetz decompositions for eigenforms on a Kähler manifold ⋮ $p$-spectrum and collapsing of connected sums ⋮ Approximating orbifold spectra using collapsing connected sums ⋮ Eigenvalues of the Laplacian acting on 𝑝-forms and metric conformal deformations ⋮ The gap of the eigenvalues for \(p\)-forms and harmonic \(p\)-forms of constant length

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