5 papers · 1 filter
Four-dimensional semi-Riemannian Szabó manifolds
Abdoul Salam Diallo, Punam Gupta
In this paper, we prove that the deformed Riemannian extension of any affine Szabó manifold is a Szabó pseudo-Riemannian metric and vice-versa. We proved that the Ricci tensor of a…
Einstein doubly warped product manifolds with a semi-symmetric metric connection
Punam Gupta, Abdoul Salam Diallo
In this paper, we study the doubly warped product manifolds with semisymmetric metric connection. We derive the curvatures formulas for doubly warped product manifold with semi-sym…
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.
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…
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…