On semisymmetric connection

Abstract

The paper claims that 4 types of covariant derivatives can be introduced due to non-symmetric affine connection.
Based on this, more types of Ricci's identity and 12 curvature tensors are obtained, of which 5 are independent.

At the second section semisymmetric connection is defined and for this connection the properties of 2 of 5 independent curvature tensors.
Analogously can be done for the rest of 5 curvature tensors.