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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…
math.DG2005★ 9 cited
Parallal Spinors on Pseudo-Riemannian SpinC Manifolds
Aziz Ikemakhen
We describe, by their holonomy groups, all simply connected irreducible non-locally symmetric pseudo-Riemannian SpinC manifolds which admit parallel spinors. So we generalise the R…
math.DG2004★ 2 cited
Parallel Spinors on Pseudo-Riemannian Spin C Manifolds
Aziz Ikemakhen
We describe, by their holonomy groups, all complete simply connected irreducible non-locally symmetric pseudo-Riemannian SpinC manifolds which admit parallel spinors. So we general…