Open AccessSuper warped products with a semi-symmetric non-metric connection
Author(s) -
Tong Wu,
Yong Wang
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022587
Subject(s) - connection (principal bundle) , metric connection , levi civita connection , fundamental theorem of riemannian geometry , mathematics , pure mathematics , metric (unit) , riemann curvature tensor , product metric , ricci curvature , curvature , product (mathematics) , mathematical analysis , metric space , geometry , engineering , operations management
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.