{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:33:00Z","timestamp":1760059980680,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,22]],"date-time":"2025-07-22T00:00:00Z","timestamp":1753142400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU)","award":["IMSIU-DDRSP2502"],"award-info":[{"award-number":["IMSIU-DDRSP2502"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper explores the geometric interplay between the Levi\u2013Civita connection and the quarter-symmetric metric connection on doubly warped product manifolds. We analyze the behavior of Ricci solitons on such manifolds, focusing on the influence of conformal and Killing vector fields within the framework of quarter-symmetric metric connections (QSMCs). Furthermore, we examine conditions under which the manifold exhibits Einstein properties, presenting new insights into Einstein-like structures in the context of doubly warped product manifolds endowed with a quarter-symmetric metric connection.<\/jats:p>","DOI":"10.3390\/axioms14080548","type":"journal-article","created":{"date-parts":[[2025,7,22]],"date-time":"2025-07-22T08:45:18Z","timestamp":1753173918000},"page":"548","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On Ricci Solitons and Curvature Properties of Doubly Warped Products with QSMC"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9343-0725","authenticated-orcid":false,"given":"Md","family":"Aquib","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 65892, Riyadh 11566, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vaishali","family":"Sah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, S. S. J Campus, Kumaun University, Nainital 263001, Uttarakhand, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6908-6146","authenticated-orcid":false,"given":"Sarvesh Kumar","family":"Yadav","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jaya","family":"Upreti","sequence":"additional","affiliation":[{"name":"Department of Mathematics, S. S. J Campus, Kumaun University, Nainital 263001, Uttarakhand, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0002-9947-1969-0251664-4","article-title":"Manifolds of negative curvature","volume":"145","author":"Bishop","year":"1968","journal-title":"Trans. Am. Math. Soc."},{"key":"ref_2","first-page":"31","article-title":"Geodesic completeness and maximality in Lorentzian warped products","volume":"39","author":"Beem","year":"1982","journal-title":"Tensor"},{"key":"ref_3","first-page":"85","article-title":"Geodesic completeness in static space-times","volume":"2","author":"Allison","year":"1988","journal-title":"Geom. 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