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Results concerning semi-symmetric metric $F$-connections on the Hsu-$B$ manifolds

Uday Chand De|Aydin Gezer|Cagri Karaman
대한수학회 (The Korean Mathematical Society)|2023.07|대한수학회논문집 (Communications of the KMS)|제38권 제3호|pp. 837-846|DOI 10.4134/CKMS.c220031

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키워드

curvature tensor fieldEinstein manifoldHsu-$B$ manifoldTachibana operatorsemi-symmetric metric $F$-connection
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초록

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.

Abstract

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.

참고문헌 (17)

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