Super warped products with a semi-symmetric metric connection

TL;DR

This paper introduces semi-symmetric metric connections on super Riemannian manifolds, computes their curvature and Ricci tensors on super warped products, and identifies conditions for these spaces to be Einstein super spaces.

Contribution

It defines semi-symmetric metric connections on super Riemannian manifolds and explores their properties on super warped product spaces, including Einstein conditions.

Findings

Computed curvature and Ricci tensors for semi-symmetric metric connections on super warped products.

Established conditions for super warped product spaces to be Einstein super spaces.

Introduced two types of super warped product spaces with semi-symmetric metric connections.

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.