Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle

Mohammad Nazrul Islam Khan (), Uday Chand De and Ljubica S. Velimirović
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Mohammad Nazrul Islam Khan: Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia
Uday Chand De: Department of Pure Mathematics, University of Calcutta 35, Ballygaunge Circular Road, Kolkata 700019, India
Ljubica S. Velimirović: Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, 18 000 Niš, Serbia

Mathematics, 2022, vol. 11, issue 1, 1-12

Abstract: The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle. A relationship between the Riemannian connection and the quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle was established. Some theorems on the curvature tensor and the projective curvature tensor of a Sasakian manifold with respect to the quarter-symmetric metric connection to its tangent bundle were proved. Finally, locally ϕ -symmetric Sasakian manifolds with respect to the quarter-symmetric metric connection to its tangent bundle were studied.

Keywords: complete lift; tangent bundle; quarter-symmetric metric connection; Sasakian manifold; curvature tensor; projective curvature tensor; locally ? -symmetric (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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