Geodesic
On Pseudo-Riemannian Cyclic Homogeneous Manifolds of Dimension Four
Journal of Lie theory, Tome 31 (2021) no. 1, pp. 169-187
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We study the homogeneous structures of pseudo-Riemannian Lie groups of signature (2,2). This study allows us to classify the cyclic Lie groups of the mentioned signature. We also study the cyclic pseudo-Riemannian homogeneous 4-manifolds with non-trivial isotropy.
Classification : 53B30, 53C30, 22E25, 22E46
Mots-clés : Pseudo-Riemannian Lie groups, left-invariant cyclic metrics, homogeneous pseudo-Riemannian structures, non-trivial isotropy 
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     author = {A. Tohidfar and A. Zaeim},
     title = {On {Pseudo-Riemannian} {Cyclic} {Homogeneous} {Manifolds} of {Dimension} {Four}},
     journal = {Journal of Lie theory},
     pages = {169--187},
     year = {2021},
     volume = {31},
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     url = {http://geodesic.mathdoc.fr/item/JLT_2021_31_1_JLT_2021_31_1_a8/}
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A. Tohidfar; A. Zaeim. On Pseudo-Riemannian Cyclic Homogeneous Manifolds of Dimension Four. Journal of Lie theory, Tome 31 (2021) no. 1, pp. 169-187. http://geodesic.mathdoc.fr/item/JLT_2021_31_1_JLT_2021_31_1_a8/