On the spectra of Laplace operator on \(\Lambda^*(S^n)\)

DOI10.3792/pjaa.55.141zbMath0442.58029OpenAlexW1974795200MaRDI QIDQ1143696

Kiyoshi Katase, Ichiro Iwasaki

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.141

zbMATH Keywords

eigenvalues and multiplicitiesLaplace operator acting on the space of differential forms on the standard sphere

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)

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Cites Work

• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• Spectra and eigenforms of the Laplacian on \(S^n\) and \(P^n(C)\)
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• The Spectra of the Laplace-Beltrami Operator on Compact, Semisimple Lie Groups