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

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

2007-04-11

arxiv.org/abs/0704.1363v1

Mathematics

Differential Geometry

21 pages

Scientific paper

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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