On Semi - Symmetric Projective Connection

Abstract

In this paper we consider a new connection called Semi-Symmetric Projective Connection. The covariant differentiation with respect to this connection is defined and the commutation formulae for directional differentiation, Berwald covariant differentiation and semi-symmetric projective covariant differentiation have been obtained. Relations between the curvature tensors and torsion tensors arising from Berwald connection  and semi-symmetric projective  connection have also been obtained. Bianchi identities have also been derived.