{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:41:39Z","timestamp":1760150499193,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2023,11,24]],"date-time":"2023-11-24T00:00:00Z","timestamp":1700784000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002383","name":"King Saud University, Riyadh, Saudi Arabia","doi-asserted-by":"publisher","award":["RSP2023R413"],"award-info":[{"award-number":["RSP2023R413"]}],"id":[{"id":"10.13039\/501100002383","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/axioms12121078","type":"journal-article","created":{"date-parts":[[2023,11,24]],"date-time":"2023-11-24T10:10:39Z","timestamp":1700820639000},"page":"1078","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Semi-Conformally Flat Singly Warped Product Manifolds and Applications"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3548-4239","authenticated-orcid":false,"given":"Samesh","family":"Shenawy","sequence":"first","affiliation":[{"name":"Basic Science Department, Modern Academy for Engineering and Technology, Maadi 11571, Egypt"}]},{"given":"Alaa","family":"Rabie","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63541, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8990-4609","authenticated-orcid":false,"given":"Uday Chand","family":"De","sequence":"additional","affiliation":[{"name":"Department of Pure Mathematics, University of Calcutta, Ballygaunge Circular Road, Kolkata 700019, India"}]},{"given":"Carlo","family":"Mantica","sequence":"additional","affiliation":[{"name":"Physics Department Aldo Pontremoli, Universita degli Studi di Milano and I.N.F.N. Sezione di Milano, Via Celoria 16, 20133 Milan, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9738-026X","authenticated-orcid":false,"given":"Nasser","family":"Bin Turki","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,24]]},"reference":[{"key":"ref_1","first-page":"105","article-title":"Curvature tensors and their relativistics significance","volume":"18","author":"Pokhariyal","year":"1970","journal-title":"Yokohama Math. J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1155\/S0161171282000131","article-title":"Relativistic significance of curvature tensors","volume":"5","author":"Pokhariyal","year":"1982","journal-title":"Int. J. Math. 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