The gap of the eigenvalues for \(p\)-forms and harmonic \(p\)-forms of constant length

DOI10.1016/j.geomphys.2004.11.007zbMath1083.58029OpenAlexW2028956420MaRDI QIDQ557183

Junya Takahashi

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.11.007

zbMATH Keywords

eigenvaluesLaplace operatorharmonic forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) Boundary value problems on manifolds (58J32)

Cites Work

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• On the gap between the first eigenvalues of the Laplacian on functions and \(p\)-forms
• Eigenvalue and gap estimates for the Laplacian acting on 𝑝-forms
• Remark about the spectrum of the 𝑝-form Laplacian under a collapse with curvature bounded below
• The length of harmonic forms on a compact Riemannian manifold
• The Conformal Transformation Group of a Compact Riemannian Manifold
• Products of harmonic forms and rational curves
• On the gap between the first eigenvalues of the Laplacian on functions and 1-forms

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