On a quarter-symmetric generalized metric connection in a generalized Riemannian manifold

Abstract

In this talk, we will discuss the generalized Riemannian manifold and introduce a quarter-symmetric connection that preserves the generalized Riemannian metric. We will also observe a quarter-symmetric connection with a special condition and recurrent torsion tensor and examine the properties of linearly independent curvature tensors of generalized Riemannian manifold.