Geodesic
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
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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 
@article{JLT_2024_34_4_JLT_2024_34_4_a1,
     author = {M. Boucetta and H. 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/JLT_2024_34_4_JLT_2024_34_4_a1/}
}
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M. Boucetta; H. 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/JLT_2024_34_4_JLT_2024_34_4_a1/