On the gap between the first eigenvalues of the Laplacian on functions and 1-forms

DOI10.2969/jmsj/05320307zbMath0984.58018OpenAlexW1994204079MaRDI QIDQ5939219

Junya Takahashi

Publication date: 30 April 2002

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05320307

zbMATH Keywords

stabilityeigenvalueEinstein manifoldLaplacian on 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 ⋮ The gap of the eigenvalues for \(p\)-forms and harmonic \(p\)-forms of constant length ⋮ Stability of contact metric manifolds and unit vector fields of minimum energy ⋮ Eigenvalue and gap estimates for the Laplacian acting on 𝑝-forms ⋮ The spectral theory of the Yano rough Laplacian with some of its applications

This page was built for publication: On the gap between the first eigenvalues of the Laplacian on functions and 1-forms