Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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RESULTS CONCERNING SEMI-SYMMETRIC METRIC F-CONNECTIONS ON THE HSU-B MANIFOLDS

  • Uday Chand De (Department of Pure Mathematics Calcutta University) ;
  • Aydin Gezer (Department of Mathematics Ataturk University) ;
  • Cagri Karaman (Department of Mathematics Ataturk University)
  • Received : 2022.02.07
  • Accepted : 2023.03.30
  • Published : 2023.07.31
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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.

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Acknowledgement

The authors would like to thank the anonymous reviewer for his/her valuable comments and suggestions to improve the quality of the paper.

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