On curvature tensors of non-symmetric affine connection

Abstract

M. Prvanović [1], using polylinear mappings, has obtained four curvature tensors of non-symmetric affine connection on a differentiable manifold. In the present work we obtain eight new curvature tensors of this connection (Theorem 1) and prove that among these twelve curvature tensors only five are independent, and the others can be expressed in terms of them (Theorem 2).