This paper investigates singly warped product manifolds admitting semi-conformal curvature tensors. The form of the Riemann tensor and Ricci tensor of the base and fiber manifolds of a semi-conformally flat singly warped product manifold are provided. It is demonstrated that the fiber manifold of a semi-conformally flat warped product manifold has a constant curvature. Sufficient requirements on the warping function to ensure that the base manifold is a quasi-Einstein or an Einstein manifold are provided
Semi-conformally flat singly warped product manifolds and applications / S. Shenawy, A. Rabie, U.C. De, C. Mantica, N. Bin Turki. - In: AXIOMS. - ISSN 2075-1680. - 12:12(2023 Nov 24), pp. 1078.1-1078.15. [10.3390/axioms12121078]
Semi-conformally flat singly warped product manifolds and applications
C. ManticaPenultimo
;
2023
Abstract
This paper investigates singly warped product manifolds admitting semi-conformal curvature tensors. The form of the Riemann tensor and Ricci tensor of the base and fiber manifolds of a semi-conformally flat singly warped product manifold are provided. It is demonstrated that the fiber manifold of a semi-conformally flat warped product manifold has a constant curvature. Sufficient requirements on the warping function to ensure that the base manifold is a quasi-Einstein or an Einstein manifold are providedFile | Dimensione | Formato | |
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