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math.DG2016
Some symmetry properties of four-dimensional Walker manifolds
Abdoul Salam Diallo, Fortuné Massamba
In this paper, we investigate geometric properties of some curvature tensors of a four-dimensional Walker manifold. Some characterization theorems are also obtained.
math.DG2016
On three dimensional affine Szabó manifolds
Abdoul Salam Diallo, Silas Longwap, Fortuné Massamba
In this paper, we consider the cyclic parallel Ricci tensor condition, which is a necessary condition for an affine manifold to be Szabó. We show that, in dimension , there are…
math.DG2016
Affine Szabó connections on smooth manifolds
Abdoul Salam Diallo, Fortuné Massamba
In this paper, we introduce a new structure, namely, affine Szabó connection. We prove that, on -dimensional affine manifolds, the affine Szabó structure is equivalent to one of…