{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T00:28:33Z","timestamp":1773188913055,"version":"3.50.1"},"reference-count":26,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T00:00:00Z","timestamp":1750896000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This research paper aims to study the Q-curvature tensor on Kenmotsu manifolds endowed with the Schouten\u2013van Kampen connection. Using the Q-curvature tensor, whose trace is the well-known Z-tensor, we characterized Kenmotsu manifolds by introducing the notion of \u03b6-Q\u02dc flat and \u03d5-Q\u02dc flat manifolds and novel tensor conditions, such as Q\u02dc(\u03be,X)Q\u02dc=0,\u00a0Q\u02dc(\u03be,X)R\u02dc=0,\u00a0Q\u02dc(\u03be,X)C\u02dc=0,\u00a0Q\u02dc(\u03be,X)S\u02dc=0, Q\u02dc(\u03be,X)H\u02dc=0, and Q\u02dc(\u03be,X)P\u02dc=0, with the Schouten\u2013van Kampen connection. To validate some of our results, we constructed a non-trivial example of Kenmotsu manifolds endowed with the Schouten\u2013van Kampen connection.<\/jats:p>","DOI":"10.3390\/axioms14070498","type":"journal-article","created":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T05:53:13Z","timestamp":1750917193000},"page":"498","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Geometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten\u2013Van Kampen Connection"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7885-1492","authenticated-orcid":false,"given":"Mustafa","family":"Y\u0131ld\u0131r\u0131m","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Art, Aksaray University, 68100 Aksaray, T\u00fcrkiye"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1037-6410","authenticated-orcid":false,"given":"Selahattin","family":"Beyendi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Education, Inonu University, 44000 Malatya, T\u00fcrkiye"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1018-4590","authenticated-orcid":false,"given":"G\u00fclhan","family":"Ayar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Karamanoglu Mehmet Bey University, 70100 Karaman, T\u00fcrkiye"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6825-4563","authenticated-orcid":false,"given":"Nesip","family":"Aktan","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, 42090 Konya, T\u00fcrkiye"}]}],"member":"1968","published-online":{"date-parts":[[2025,6,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"93","DOI":"10.2748\/tmj\/1178241594","article-title":"A class of almost contact Riemannian manifolds","volume":"24","author":"Kenmotsu","year":"1972","journal-title":"Tohoku Math. 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