Geodesic
Conformal Killing Symmetric Tensors on Lie Groups
Viviana Del Barco1 ; Andrei Moroianu2
1Inst. de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Brasil
2Lab. de Mathématiques d'Orsay, Université Paris-Saclay, Orsay, France
Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 1-22

Voir la notice de l'article provenant de la source Heldermann Verlag

We introduce the notion of metric Lie algebras of Killing type, which are characterized by the fact that all left-invariant conformal Killing symmetric tensors are sums of Killing tensors and multiples of the metric tensor. We show that if a Lie algebra is either 2-step nilpotent, or 2- or 3-dimensional, or 4-dimensional non-solvable, or 4-dimensional solvable with 1-dimensional derived ideal, or has an abelian factor, then it is of Killing type with respect to any positive definite metric.
Classification : 53D25, 22E25, 53C30, 22E15
Mots-clés : Conformal Killing tensors, Riemannian Lie groups

Viviana Del Barco  1   ; Andrei Moroianu  2

1 Inst. de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Brasil
2 Lab. de Mathématiques d'Orsay, Université Paris-Saclay, Orsay, France 
Viviana Del Barco; Andrei Moroianu. Conformal Killing Symmetric Tensors on Lie Groups. Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 1-22. http://geodesic.mathdoc.fr/item/JOLT_2022_32_1_a0/
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