Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on Pn(C)
Copyright policy )Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on Pn(C)
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
- Osaka University Japan
- The University of Osaka Japan
Mathematics - Differential Geometry, 58C40, 53B21; 53B50; 58C40, Methods of local Riemannian geometry, eigentensors, eigenvalues, 53B50, FOS: Physical sciences, Lichnerowicz Laplacian, Mathematical Physics (math-ph), 53B21, 510, spectrum, Differential Geometry (math.DG), differential operator, FOS: Mathematics, Mathematical Physics
Mathematics - Differential Geometry, 58C40, 53B21; 53B50; 58C40, Methods of local Riemannian geometry, eigentensors, eigenvalues, 53B50, FOS: Physical sciences, Lichnerowicz Laplacian, Mathematical Physics (math-ph), 53B21, 510, spectrum, Differential Geometry (math.DG), differential operator, FOS: Mathematics, Mathematical Physics
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