Horizontal lifts of projectable linear connection to semi-tangent bundle

The main aim of this article is to study the horizontal lifts of projectable linear connection in the semi-tangent bundle tM. The properties of complete and horizontal lifts of projectable linear connection for semi-tangent bundle tM are also investigated. Finally, we examine the infinitesimal linear transformation in the semi-tangent bundle with respect to the horizontal lift of a projectable linear connection.