Super warped products with a semi-symmetric metric connection

Abstract

In this paper, we define the semi-symmetric metric connection on super Riemannian manifolds. We compute the semi-symmetric metric connection and its curvature tensor and its Ricci tensor on super warped product spaces. We introduce two kind of super warped product spaces with the semi-symmetric metric connection and give the conditions under which these two super warped product spaces with the semi-symmetric metric connection are the Einstein super spaces with the semi-symmetric metric connection.