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Killing tensor fields on the standard sphere and spectra of \(SO(n+1)/SO(n-1)\times SO(2)\) and \(O(n+1)/O(n-1)\times O(2)\)

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Publication:790454
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zbMath0534.53038MaRDI QIDQ790454

Takeshi Sumitomo, Kwoichi Tandai

Publication date: 1983

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

LaplacianGrassmann manifoldseigen-space decompositionLichnerowicz operator


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)


Related Items (5)

The spinor and tensor fields with higher spin on spaces of constant curvature ⋮ Separability in consistent truncations ⋮ Codazzi and Killing tensors on a complete Riemannian manifold ⋮ An example of Lichnerowicz-type Laplacian ⋮ The spectral theory of the Yano rough Laplacian with some of its applications







This page was built for publication: Killing tensor fields on the standard sphere and spectra of \(SO(n+1)/SO(n-1)\times SO(2)\) and \(O(n+1)/O(n-1)\times O(2)\)

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