Mathematical physics, Spectral theory
Spectre du Laplacien agissant sur les r-tenseurs symétriques sur l’espace hyperbolique
Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 625-630.

On the hyperbolic space, we give the spectrum of the Laplacian acting on trace free symmetric tensors fields of any rank.

Sur l’espace hyperbolique, nous donnons le spectre du Laplacien agissant sur les champs de tenseurs symétriques sans trace de tous rangs.

Received:
Accepted:
Published online:
DOI: 10.5802/crmath.201
Classification: 35P15, 58J50, 47A53
Delay, Erwann 1

1 Laboratoire de Mathématiques d’Avignon, Université d’Avignon, Campus Jean-Henri Fabre, 301 rue Baruch de Spinoza, BP 21239, 84916 Avignon Cedex 9, France
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Delay, Erwann. Spectre du Laplacien agissant sur les $r$-tenseurs symétriques sur l’espace hyperbolique. Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 625-630. doi : 10.5802/crmath.201. http://www.numdam.org/articles/10.5802/crmath.201/

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