Semi-Conformally Flat Singly Warped Product Manifolds and Applications
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/12/1078 |
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| author | Samesh Shenawy Alaa Rabie Uday Chand De Carlo Mantica Nasser Bin Turki |
| author_facet | Samesh Shenawy Alaa Rabie Uday Chand De Carlo Mantica Nasser Bin Turki |
| author_sort | Samesh Shenawy |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T21:00:34Z |
| format | Article |
| id | doaj.art-6365349ba2264978bae1a737627bbfe4 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-08T21:00:34Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-6365349ba2264978bae1a737627bbfe42023-12-22T13:53:10ZengMDPI AGAxioms2075-16802023-11-011212107810.3390/axioms12121078Semi-Conformally Flat Singly Warped Product Manifolds and ApplicationsSamesh Shenawy0Alaa Rabie1Uday Chand De2Carlo Mantica3Nasser Bin Turki4Basic Science Department, Modern Academy for Engineering and Technology, Maadi 11571, EgyptDepartment of Mathematics, Faculty of Science, Fayoum University, Fayoum 63541, EgyptDepartment of Pure Mathematics, University of Calcutta, Ballygaunge Circular Road, Kolkata 700019, IndiaPhysics Department Aldo Pontremoli, Universita degli Studi di Milano and I.N.F.N. Sezione di Milano, Via Celoria 16, 20133 Milan, ItalyDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaThis 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.https://www.mdpi.com/2075-1680/12/12/1078warped productsemi-conformal curvature tensorperfect fluid space-times |
| spellingShingle | Samesh Shenawy Alaa Rabie Uday Chand De Carlo Mantica Nasser Bin Turki Semi-Conformally Flat Singly Warped Product Manifolds and Applications Axioms warped product semi-conformal curvature tensor perfect fluid space-times |
| title | Semi-Conformally Flat Singly Warped Product Manifolds and Applications |
| title_full | Semi-Conformally Flat Singly Warped Product Manifolds and Applications |
| title_fullStr | Semi-Conformally Flat Singly Warped Product Manifolds and Applications |
| title_full_unstemmed | Semi-Conformally Flat Singly Warped Product Manifolds and Applications |
| title_short | Semi-Conformally Flat Singly Warped Product Manifolds and Applications |
| title_sort | semi conformally flat singly warped product manifolds and applications |
| topic | warped product semi-conformal curvature tensor perfect fluid space-times |
| url | https://www.mdpi.com/2075-1680/12/12/1078 |
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