Geodesic
On the Symmetries of Five-Dimensional Solvable Lie Groups
Journal of Lie theory, Tome 30 (2020) no. 1, pp. 155-169
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We consider the five-dimensional solvable Lie group, equipped with left-invariant Riemannian metric. We obtain a full classification of Killing and affine vector fields as well as Ricci, curvature and matter collineations.
Classification : 53C50, 53B30
Mots-clés : Solvable Lie group, Killing vector fields, affine vector fields, Ricci collineations, curvature collineations 
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     author = {A. Mostefaoui and L. Belarbi},
     title = {On the {Symmetries} of {Five-Dimensional} {Solvable} {Lie} {Groups}},
     journal = {Journal of Lie theory},
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     year = {2020},
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A. Mostefaoui; L. Belarbi. On the Symmetries of Five-Dimensional Solvable Lie Groups. Journal of Lie theory, Tome 30 (2020) no. 1, pp. 155-169. http://geodesic.mathdoc.fr/item/JLT_2020_30_1_JLT_2020_30_1_a8/