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.
Citation
Mohamed Boucetta. "Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on $S^{n}$." Osaka J. Math. 46 (1) 235 - 254, March 2009.
Information
Published: March 2009
First available in Project Euclid: 25 February 2009
zbMATH: 1170.53010
MathSciNet: MR2531148
Subjects:
Primary:
53B21
,
53B50
,
58C40
Rights: Copyright © 2009 Osaka University and Osaka City University, Departments of Mathematics
