{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T07:47:49Z","timestamp":1767340069010,"version":"build-2065373602"},"reference-count":52,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T00:00:00Z","timestamp":1656633600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12101168","LQ22A010014"],"award-info":[{"award-number":["12101168","LQ22A010014"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Zhejiang Provincial Natural Science Foundation of China","award":["12101168","LQ22A010014"],"award-info":[{"award-number":["12101168","LQ22A010014"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this article, we derive Chen\u2019s inequalities involving Chen\u2019s \u03b4-invariant \u03b4M, Riemannian invariant \u03b4(m1,\u22ef,mk), Ricci curvature, Riemannian invariant \u0398k(2\u2264k\u2264m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized Sasakian-space-forms endowed with a quarter-symmetric connection. As an application of the obtain inequality, we first derived the Chen inequality for the bi-slant submanifold of generalized Sasakian-space-forms.<\/jats:p>","DOI":"10.3390\/axioms11070324","type":"journal-article","created":{"date-parts":[[2022,7,2]],"date-time":"2022-07-02T11:12:35Z","timestamp":1656760355000},"page":"324","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Improved Chen\u2019s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1614-3228","authenticated-orcid":false,"given":"Yanlin","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohan","family":"Khatri","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Mizoram University, Aizawl 796004, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jay Prakash","family":"Singh","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Mizoram University, Aizawl 796004, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3882-4596","authenticated-orcid":false,"given":"Sudhakar K.","family":"Chaubey","sequence":"additional","affiliation":[{"name":"Department of Information Technology, University of Technology and Applied Sciences, P.O. 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