Torsional connection on Riemannian manifolds

In this thesis, the definition and properties of a torsional connection are included using the Levi-Civita connection and a 1-form on Riemannian manifolds. It is proved that the curvature tensor determined by the Levi-Civita connection and the curvature tensor determined by the torsion connection defined in this study are equal under certain conditions. Some equations provided by the curvature tensor obtained using the torsional connection are noted.