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Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle

Author

Listed:
  • Rajesh Kumar

    (Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796004, India)

  • Sameh Shenawy

    (Basic Science Department, Modern Academy for Engineering and Technology, Maadi 4410242, Egypt)

  • Nasser Bin Turki

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Lalnunenga Colney

    (Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796004, India
    Department of Mathematics and Computer Science, Mizoram University, Aizawl 796004, India)

  • Uday Chand De

    (Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, India)

Abstract

The lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research. The relationship between the complete lifts of a statistical manifold with semi-symmetric metric connections and Sasakian statistical manifolds with a semi-symmetric metric connection in the tangent bundle is investigated. We also discuss the classification of Sasakian statistical manifolds with respect to semi-symmetric metric connections in the tangent bundle. Finally, we derive an example of the lifts of Sasakian statistical manifolds to the tangent bundle.

Suggested Citation

  • Rajesh Kumar & Sameh Shenawy & Nasser Bin Turki & Lalnunenga Colney & Uday Chand De, 2024. "Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle," Mathematics, MDPI, vol. 12(2), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:226-:d:1316545
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    References listed on IDEAS

    as
    1. Rajesh Kumar & Lalnunenga Colney & Samesh Shenawy & Nasser Bin Turki, 2023. "Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold," Mathematics, MDPI, vol. 11(19), pages 1-15, October.
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