Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on $S^{n}$
Boucetta, Mohamed
Osaka J. Math., Tome 46 (2009) no. 1, p. 235-254 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2009-03-15
Classification:  53B21,  53B50,  58C40 
@article{1235574046,
     author = {Boucetta, Mohamed},
     title = {Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on $S^{n}$},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 235-254},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235574046}
}

Boucetta, Mohamed. Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on $S^{n}$. Osaka J. Math., Tome 46 (2009) no. 1, pp.  235-254. http://gdmltest.u-ga.fr/item/1235574046/