Geodesic
Lie Groups Endowed with a Left Invariant Riemannian Metric and a Flat Metric Connection with Skew-Symmetric Torsion
Mohamed Boucetta1 ; Hicham Lebzioui2
1Faculté des Sciences Gueliz, Université Cadi-Ayyad, Marrakech, Morocco
2École Supérieure de Technologie-Khénifra, Sultan Moulay Slimane University, Khénifra, Morocco
Journal of Lie Theory, Tome 34 (2024) no. 4, pp. 773-783

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

We give a complete description of Lie groups endowed with a left invariant Riemannian metric and a left invariant flat metric connection with skew-symmetric torsion.
Classification : 53B05, 53C20, 22E15, 22E60
Mots-clés : Lie groups, Lie algebras, flat metric connections, matched pair of Lie algebras

Mohamed Boucetta  1   ; Hicham Lebzioui  2

1 Faculté des Sciences Gueliz, Université Cadi-Ayyad, Marrakech, Morocco
2 École Supérieure de Technologie-Khénifra, Sultan Moulay Slimane University, Khénifra, Morocco 
Mohamed Boucetta; Hicham Lebzioui. Lie Groups Endowed with a Left Invariant Riemannian Metric and a Flat Metric Connection with Skew-Symmetric Torsion. Journal of Lie Theory, Tome 34 (2024) no. 4, pp. 773-783. http://geodesic.mathdoc.fr/item/JOLT_2024_34_4_a1/
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     author = {Mohamed Boucetta and Hicham Lebzioui},
     title = {Lie {Groups} {Endowed} with a {Left} {Invariant} {Riemannian} {Metric} and a {Flat} {Metric} {Connection} with {Skew-Symmetric} {Torsion}},
     journal = {Journal of Lie Theory},
     pages = {773--783},
     year = {2024},
     volume = {34},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_4_a1/}
}
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