Sur l’espace hyperbolique, nous donnons le spectre du Laplacien agissant sur les champs de tenseurs symétriques sans trace de tous rangs.
On the hyperbolic space, we give the spectrum of the Laplacian acting on trace free symmetric tensors fields of any rank.
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@article{CRMATH_2021__359_5_625_0,
author = {Delay, Erwann},
title = {Spectre du {Laplacien} agissant sur les $r$-tenseurs sym\'etriques sur l{\textquoteright}espace hyperbolique},
journal = {Comptes Rendus. Math\'ematique},
pages = {625--630},
publisher = {Acad\'emie des sciences, Paris},
volume = {359},
number = {5},
year = {2021},
doi = {10.5802/crmath.201},
language = {fr},
url = {http://www.numdam.org/articles/10.5802/crmath.201/}
}
TY - JOUR AU - Delay, Erwann TI - Spectre du Laplacien agissant sur les $r$-tenseurs symétriques sur l’espace hyperbolique JO - Comptes Rendus. Mathématique PY - 2021 SP - 625 EP - 630 VL - 359 IS - 5 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.201/ DO - 10.5802/crmath.201 LA - fr ID - CRMATH_2021__359_5_625_0 ER -
%0 Journal Article %A Delay, Erwann %T Spectre du Laplacien agissant sur les $r$-tenseurs symétriques sur l’espace hyperbolique %J Comptes Rendus. Mathématique %D 2021 %P 625-630 %V 359 %N 5 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.201/ %R 10.5802/crmath.201 %G fr %F CRMATH_2021__359_5_625_0
Delay, Erwann. Spectre du Laplacien agissant sur les $r$-tenseurs symétriques sur l’espace hyperbolique. Comptes Rendus. Mathématique, Tome 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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