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

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.

21 pages

Cited by in corpus (1)

• Remarks on the GNS Representation and the Geometry of Quantum States