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

Tong Wu; Yong Wang; Tong Wu; Yong Wang

doi:10.3934/math.2022587

AIMS Mathematics

2022, Volume 7, Issue 6: 10534-10553. doi: 10.3934/math.2022587

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Research article

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

Tong Wu ,
Yong Wang ^,

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received: 24 January 2022 Revised: 22 March 2022 Accepted: 22 March 2022 Published: 28 March 2022
MSC : 53C40, 53C42

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.
- semi-symmetric non-metric connection,
- the curvature tensor,
- Ricci tensor,
- super warped product space,
- the Einstein super space
Citation: Tong Wu, Yong Wang. Super warped products with a semi-symmetric non-metric connection[J]. AIMS Mathematics, 2022, 7(6): 10534-10553. doi: 10.3934/math.2022587

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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.

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