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Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold

Author

Listed:
  • Lixu Yan

    (Department of Mathematics, Northeast Forestry University, Harbin 150040, China)

  • Yanlin Li

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China)

  • Lokman Bilen

    (Faculty of Science and Art, Department of Mathematics, Iğdır University, Iğdır 76100, Turkey)

  • Aydın Gezer

    (Faculty of Science, Department of Mathematics, Ataturk University, Erzurum 25240, Turkey)

Abstract

Let ( M , ∇ , g ) be a statistical manifold and T M be its tangent bundle endowed with a twisted Sasaki metric G . This paper serves two primary objectives. The first objective is to investigate the curvature properties of the tangent bundle T M . The second objective is to explore conformal vector fields and Ricci, Yamabe, and gradient Ricci–Yamabe solitons on the tangent bundle T M according to the twisted Sasaki metric G .

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1395-:d:1388001
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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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