{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T17:42:41Z","timestamp":1760118161398,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T00:00:00Z","timestamp":1735171200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Graduate Studies and Scientific Research, Jazan University","award":["GSSRD-24"],"award-info":[{"award-number":["GSSRD-24"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This work aims to provide generalized Wintgen inequalities for slant submanifolds embedded in quaternionic space forms, taking into consideration both semi-symmetric metric and semi-symmetric non-metric connections. Moreover, we discuss the same inequality for totally real, anti-invariant, and invariant submanifolds on quaternionic space forms, endowed with both semi-symmetric metric and semi-symmetric non-metric connections. We also characterized the equality case through specific forms of shape operators of Wintgen inequalities for these classes of submanifolds in quaternionic space forms, admitting a semi-symmetric metric connection and a semi-symmetric non-metric connection.<\/jats:p>","DOI":"10.3390\/axioms14010006","type":"journal-article","created":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T21:13:18Z","timestamp":1735247598000},"page":"6","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds"],"prefix":"10.3390","volume":"14","author":[{"given":"Rawan","family":"Bossly","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Majid Ali","family":"Choudhary","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1713-6831","authenticated-orcid":false,"given":"Mohd Danish","family":"Siddiqi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5054-8865","authenticated-orcid":false,"given":"O\u1e21uzhan","family":"Bahad\u0131r","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kahramanmara\u015f S\u00fct\u00e7\u00fc \u0130mam University, 46050 Kahramanmaras, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mehmet","family":"G\u00fclbahar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Arts and Sciences, Harran University, 63050 \u015eanl\u0131urfa, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,26]]},"reference":[{"key":"ref_1","first-page":"A993","article-title":"Sur l\u2019in\u00e9galit\u00e9 de Chen-Wilmore","volume":"288","author":"Wintgen","year":"1979","journal-title":"C. R. Acad. Sci. Paris Ser. 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