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Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold

Author

Listed:
  • Rajesh Kumar

    (Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, India)

  • Lalnunenga Colney

    (Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, India)

  • Samesh Shenawy

    (Basic Science Department, Modern Academy for Engineering and Technology, Maadi 11585, Egypt)

  • Nasser Bin Turki

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

Abstract

The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in an LP-Sasakian manifold to its tangent bundle are investigated. Necessary and sufficient conditions for the lifts of the Ricci tensor to be symmetric and skew-symmetric and the lifts of the projective Ricci tensor to be skew-symmetric in the tangent bundle are given. An example of complete lifts of four-dimensional LP-Sasakian manifolds in the tangent bundle is shown.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4163-:d:1253365
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    References listed on IDEAS

    as
    1. Mohammad Nazrul Islam Khan & Majid Ali Choudhary & Sudhakar K. Chaubey & Antonio Masiello, 2022. "Alternative Equations for Horizontal Lifts of the Metallic Structures from Manifold onto Tangent Bundle," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, April.
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    Cited by:

    1. Lixu Yan & Yanlin Li & Lokman Bilen & Aydın Gezer, 2024. "Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold," Mathematics, MDPI, vol. 12(9), pages 1-18, May.
    2. 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.

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