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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohammad Nazrul Islam Khan & Uday Chand De & Ljubica S. Velimirović, 2022. "Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle," Mathematics, MDPI, vol. 11(1), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:53-:d:1013080
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