English

Super warped products with a semi-symmetric metric connection

Differential Geometry 2021-12-03 v1

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.

Keywords

Cite

@article{arxiv.2112.00887,
  title  = {Super warped products with a semi-symmetric metric connection},
  author = {Yong Wang},
  journal= {arXiv preprint arXiv:2112.00887},
  year   = {2021}
}