Osaka Journal of Mathematics

Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on $S^{n}$

Mohamed Boucetta
Source: Osaka J. Math. Volume 46, Number 1 (2009), 235-254.

Abstract

We compute the eigenvalues with multiplicities of the Lichnerowicz Laplacian acting on the space of symmetric covariant tensor fields on the Euclidian sphere $S^{n}$. The spaces of symmetric eigentensors are explicitly given.

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Primary Subjects: 53B21, 53B50, 58C40
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ojm/1235574046
Zentralblatt MATH identifier: 05543718
Mathematical Reviews number (MathSciNet): MR2531148

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