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Geometric analysis of the pseudo-projective curvature tensor in doubly and twisted warped product manifolds

  • Received: 22 October 2024 Revised: 16 December 2024 Accepted: 26 December 2024 Published: 02 January 2025
  • MSC : 53C20, 53C21, 53C25, 53C30, 53C50

  • This study investigates the pseudo-projective curvature tensor within the framework of doubly and twisted warped product manifolds. It offers significant insights into the interaction between the pseudo-projective curvature tensor and both the base and fiber manifolds. The research highlights key geometric characteristics of the base and fiber manifolds as influenced by the pseudo-projective curvature tensor in these structures. Additionally, the paper extends its analysis to examine the behavior of the pseudo-projective curvature tensor in the context of generalized doubly and twisted generalized Robertson-Walker space-times.

    Citation: Ayman Elsharkawy, Hoda Elsayied, Abdelrhman Tawfiq, Fatimah Alghamdi. Geometric analysis of the pseudo-projective curvature tensor in doubly and twisted warped product manifolds[J]. AIMS Mathematics, 2025, 10(1): 56-71. doi: 10.3934/math.2025004

    Related Papers:

  • This study investigates the pseudo-projective curvature tensor within the framework of doubly and twisted warped product manifolds. It offers significant insights into the interaction between the pseudo-projective curvature tensor and both the base and fiber manifolds. The research highlights key geometric characteristics of the base and fiber manifolds as influenced by the pseudo-projective curvature tensor in these structures. Additionally, the paper extends its analysis to examine the behavior of the pseudo-projective curvature tensor in the context of generalized doubly and twisted generalized Robertson-Walker space-times.



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