Small eigenvalues on \(p\)-forms for collapsings of the even-dimensional spheres

DOI10.1007/s002290200288zbMath1053.58015OpenAlexW1988007601MaRDI QIDQ1849598

Junya Takahashi

Publication date: 1 December 2002

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290200288

zbMATH Keywords

Laplacian\(p\)-formeven-dimensional spheres

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 (3)

Elliptic PDEs on Compact Ricci Limit Spaces and Applications ⋮ The gap of the eigenvalues for \(p\)-forms and harmonic \(p\)-forms of constant length ⋮ Remark about the spectrum of the 𝑝-form Laplacian under a collapse with curvature bounded below

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