Comptes Rendus
no. 2
Géométrie, Systèmes dynamiques
Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
[Groupes de Lie pseudo-riemanniens admettant des champs vectoriels conformes invariants à gauche]
Hui Zhang1 ; Zhiqi Chen2
1 School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P.R. China
2 Corresponding author. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P.R. China
Comptes Rendus. Mathématique, Volume 358 (2020) no. 2, pp. 143-149.

Soit G un groupe de Lie lorentzien ou un groupe de Lie pseudo-riemannien de type (n-2,2). Si G admet un champ vectoriel invariant à gauche non-Killing, alors G est résoluble.

Let G be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type (n-2,2). If G admits a non-Killing left-invariant conformal vector field, then G is solvable.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.23
Classification : 53C25, 53C30, 22E60
Mots clés : Conformal vector fields, Killing vector fields, Pseudo-Riemannian Lie groups, Lorenztian Lie groups
Hui Zhang 1 ; Zhiqi Chen 2

1 School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P.R. China
2 Corresponding author. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P.R. China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Pseudo-Riemannian {Lie} groups admitting left-invariant conformal vector fields},
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     pages = {143--149},
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Hui Zhang; Zhiqi Chen. Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields. Comptes Rendus. Mathématique, Volume 358 (2020) no. 2, pp. 143-149. doi : 10.5802/crmath.23. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.23/

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