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Analysis of the Quasi-Concircular Curvature Tensor on Sequential Warped Product Manifolds

Author

Listed:
  • Rajesh Kumar

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

  • Sameh Shenawy

    (Basic Science Department, Modern Academy for Engineering and Technology, Maadi 11742, Egypt)

  • Johnson Lalrohlua

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

  • Hanan Alohali

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

  • Carlo Mantica

    (Physics Department Aldo Pontremoli, Universita degli Studi di Milano and I.N.F.N. Sezione di Milano, Via Celoria 16, 20133 Milano, Italy)

Abstract

This paper investigates the quasi-concircular curvature tensor on sequential warped product manifolds, which extend the classical singly warped product structure. We examine various curvature conditions associated with this tensor, including quasi-concircular flatness, quasi-concircular symmetry, and the divergence-free quasi-concircular condition, and we explore the properties of related soliton structures. In addition, we analyze the implications of these results in Lorentzian geometry by deriving explicit expressions for the Ricci tensor and scalar curvature of the considered manifolds. The study concludes with an illustrative example that emphasizes the geometric significance and potential applications of the investigated structures.

Suggested Citation

  • Rajesh Kumar & Sameh Shenawy & Johnson Lalrohlua & Hanan Alohali & Carlo Mantica, 2025. "Analysis of the Quasi-Concircular Curvature Tensor on Sequential Warped Product Manifolds," Mathematics, MDPI, vol. 13(18), pages 1-22, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:18:p:3042-:d:1754401
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