Geodesic
On the Symmetries of Five-Dimensional Solvable Lie Groups
Assia Mostefaoui1 ; Lakehal Belarbi2
1Ecole Nationale Polytechnique d'Oran, El M'naouar, Oran 31000, Algeria
2Dept. of Mathematics, Lab. of Pure and Applied Mathematics, University of Mostaganem, 27000 Mostaganem, Algeria
Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 155-169

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

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

Assia Mostefaoui  1   ; Lakehal Belarbi  2

1 Ecole Nationale Polytechnique d'Oran, El M'naouar, Oran 31000, Algeria
2 Dept. of Mathematics, Lab. of Pure and Applied Mathematics, University of Mostaganem, 27000 Mostaganem, Algeria 
Assia Mostefaoui; Lakehal 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/JOLT_2020_30_1_a8/
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     journal = {Journal of Lie Theory},
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     year = {2020},
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     number = {1},
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