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Commun. Korean Math. Soc. 2023; 38(3): 837-846
Online first article July 13, 2023 Printed July 31, 2023
https://doi.org/10.4134/CKMS.c220031
Copyright © The Korean Mathematical Society.
Results concerning semi-symmetric metric $F$-connections on the Hsu-$B$ manifolds
Uday Chand De, Aydin Gezer, Cagri Karaman
Calcutta University; Ataturk University; Ataturk University
In this paper, we firstly construct a Hsu-$B$ manifold and give some basic results related to it. Then, we address a semi-symmetric metric $F$-connection on the Hsu-$B$ manifold and obtain the curvature tensor fields of such connection, and study properties of its curvature tensor and torsion tensor fields.
Keywords: Hsu-$B$ manifold, Tachibana operator, semi-symmetric metric $F$-connection, Einstein manifold, curvature tensor field
MSC numbers: Primary 53C05, 53C15, 53C55
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