The first eigenvalue of the Laplacian on even dimensional spheres

DOI10.2748/TMJ/1178229601zbMath0427.53020OpenAlexW1980282989MaRDI QIDQ1136367

Hideo Muto

Publication date: 1980

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229601

zbMATH Keywords

eigenvalueLaplacianeven dimensional spheres

Mathematics Subject Classification ID

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

Related Items (6)

The spectrum of the Laplacian: A geometric approach ⋮ The first eigenvalue of the Laplacian on tori ⋮ Laplacian eigenvalue functionals and metric deformations on compact manifolds ⋮ Spectre et géométrie conforme des variétés compactes à bord ⋮ Boundedness of the first eigenvalue of the 𝑝-Laplacian ⋮ On the stability of a three-sphere

Cites Work

• On the least positive eigenvalue of Laplacian for compact homogeneous spaces
• The first eigenvalue of the Laplacian on spheres
• On the least positive eigenvalue of the Laplacian for compact group manifolds
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Auf-Wiedersehens-Flächen
• On the least positive eigenvalue of the Laplacian for the compact quotient of a certain Riemannian symmetric space
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