On the first eigenvalue of the Laplacian acting on p-forms

DOI10.14492/HOKMJ/1381758222zbMath0448.58025OpenAlexW2023754011MaRDI QIDQ1146918

Satoshi Asada

Publication date: 1980

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381758222

zbMATH Keywords

second fundamental formcompact oriented Riemannian manifold isometrically immersed in a complete simply connected space formfirst eigenvalue of the Laplacian acting on p-forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (4)

`Universal' inequalities for the eigenvalues of the Hodge de Rham Laplacian ⋮ Eigenvalue estimates of Reilly type in product manifolds and eigenvalue comparison for strip domains ⋮ Coupling, spectral gap and related topics. II ⋮ A generalization of a Levitin and Parnovski universal inequality for eigenvalues

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