Super warped products with a semi-symmetric non-metric connection

Abstract

In this paper, we define a semi-symmetric non-metric connection on super Riemannian manifolds. And we compute the curvature tensor and the Ricci tensor of a semi-symmetric non-metric connection on super warped product spaces. Next, we introduce two kinds of super warped product spaces with a semi-symmetric non-metric connection and give the conditions that two super warped product spaces with a semi-symmetric non-metric connection are the Einstein super spaces with a semi-symmetric non-metric connection.

Keywords

• semi-symmetric non-metric connection
• the curvature tensor
• ricci tensor
• super warped product space
• the einstein super space