{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T19:18:05Z","timestamp":1776453485067,"version":"3.51.2"},"reference-count":25,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,3,15]],"date-time":"2024-03-15T00:00:00Z","timestamp":1710460800000},"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>In the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen\u2019s first inequality and the Chen\u2013Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-symmetric non-metric connection. Moreover, a generalized Euler inequality for special contact slant submanifolds in trans-Sasakian manifolds endowed with a semi-symmetric non-metric connection is obtained.<\/jats:p>","DOI":"10.3390\/axioms13030195","type":"journal-article","created":{"date-parts":[[2024,3,15]],"date-time":"2024-03-15T04:47:05Z","timestamp":1710478025000},"page":"195","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Some Chen Inequalities for Submanifolds in Trans-Sasakian Manifolds Admitting a Semi-Symmetric Non-Metric Connection"],"prefix":"10.3390","volume":"13","author":[{"given":"Mohammed","family":"Mohammed","sequence":"first","affiliation":[{"name":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, South Africa"},{"name":"Department of Mathematics, Faculty of Mathematical Sciences and Statistics, AL-Neelain University, Khartoum 11121, Sudan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6922-3566","authenticated-orcid":false,"given":"Fortun\u00e9","family":"Massamba","sequence":"additional","affiliation":[{"name":"School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, South Africa"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3782-2983","authenticated-orcid":false,"given":"Ion","family":"Mihai","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania"}]},{"given":"Abd Elmotaleb A. M. A.","family":"Elamin","sequence":"additional","affiliation":[{"name":"Department of Mathematic, College of Science and Humanity, Prince Sattam Bin Abdulaziz University, Al-Sulail 11942, Saudi Arabia"}]},{"given":"M. Saif","family":"Aldien","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Turabah University College, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"568","DOI":"10.1007\/BF01236084","article-title":"Some pinching and classification theorems for minimal submanifolds","volume":"60","author":"Chen","year":"1993","journal-title":"Arch. 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