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math.DG2016★ 2 cited
On para-Kähler Lie algebroids and generalized pseudo-Hessian structures
Saïd Benayadi, Mohamed Boucetta
In this paper, we generalize all the results obtained on para-Kähler Lie algebras in Journal of Algebra {\bf 436} (2015) 61-101 to para-Kähler Lie algebroids. In particular, we stu…
math.DG2016
Four-dimensional homogeneous semi-symmetric Lorentzian manifolds
Abderazak Benroumane, Mohamed Boucetta, Aziz Ikemakhen
We give a complete description of semi-symmetric algebraic curvature tensors on a four-dimensional Lorentzian vector space and we use this description to determine all four-dimensi…