A Riemannian manifold (M,g) is said to be an L_3-space if its Ricci tensor is cyclic parallel. This definition extends
easily to the affine case. Here we investigate the torsion free affine surfaces (M,\nabla) to be L_3-spaces and we study
locally homogeneous L_3-affine surfaces.

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  Sy, Alassane ,  Badji, Ibrahima Moulaye,  Diallo, Abdoul Salam, Manga, Bakary