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Research Article | Open Access

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
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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.

Keywords

semi-symmetric non-metric connectionthe curvature tensorRicci tensorsuper warped product spacethe Einstein super space
CLC number: 53C40, 53C42

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AIMS Mathematics
Volume 7 Issue 6,
June 2022
Pages 10534-10553
DOI: 10.3934/math.2022587

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Cite this article:
Wu T, Wang Y. Super warped products with a semi-symmetric non-metric connection. AIMS Mathematics, 2022, 7(6): 10534-10553. https://doi.org/10.3934/math.2022587

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Received: 24 January 2022
Revised: 22 March 2022
Accepted: 22 March 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)