{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:05:38Z","timestamp":1760058338032,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T00:00:00Z","timestamp":1742947200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the 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":["Symmetry"],"abstract":"<jats:p>The present research paper investigates submanifolds of Kenmotsu manifolds, focusing on those equipped with concurrent vector fields. It examines the structural and geometric properties of such submanifolds, analyzing the decomposed equations in both vertical and horizontal components. Furthermore, the study generalizes certain results in the context of \u03b7-Ricci solitons and \u03b7-Yamabe solitons.<\/jats:p>","DOI":"10.3390\/sym17040500","type":"journal-article","created":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T06:58:43Z","timestamp":1742972323000},"page":"500","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Solitons on Submanifolds of Kenmotsu Manifolds with Concurrent Vector Fields"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-6302-5533","authenticated-orcid":false,"family":"Vandana","sequence":"first","affiliation":[{"name":"Department of Mathematics and Humanities, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala 133207, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6554-1228","authenticated-orcid":false,"given":"Meraj Ali","family":"Khan","sequence":"additional","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"}]},{"given":"Aliya Naaz","family":"Siddiqui","sequence":"additional","affiliation":[{"name":"Division of Mathematics, School of Basic Sciences, Galgotias University, Greater Noida 203201, India"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"93","DOI":"10.2748\/tmj\/1178241594","article-title":"A class of almost contact Riemannian manifold","volume":"24","author":"Kenmotsu","year":"1972","journal-title":"Tohoku Math. J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"445","DOI":"10.5556\/j.tkjm.52.2021.3233","article-title":"Submanifolds of Sasakian Manifolds with Concurrent Vector Field","volume":"52","author":"Mandal","year":"2021","journal-title":"Tamkang J. Math."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1990","DOI":"10.1016\/j.chaos.2009.03.185","article-title":"On Some Submanifolds of Kenmotsu Manifolds","volume":"42","author":"Sibel","year":"2009","journal-title":"Chaos Solitons Fractal"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"843","DOI":"10.15672\/hujms.479184","article-title":"On submanifolds of Kenmotsu manifold with torqued vector field","volume":"49","author":"Yoldas","year":"2020","journal-title":"Hacet. J. Math. Stat."},{"key":"ref_5","first-page":"67","article-title":"Contact CR-submanifolds of Kenmotsu manifolds","volume":"37","author":"Atceken","year":"2011","journal-title":"Serdica Math. J."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"255","DOI":"10.4310\/jdg\/1214436922","article-title":"Three-manifolds with positive Ricci curvature","volume":"17","author":"Hamilton","year":"1982","journal-title":"J. Differ. Geom."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"205","DOI":"10.2748\/tmj\/1245849443","article-title":"Ricci solitons and real hypersurfaces in a complex space form","volume":"61","author":"Cho","year":"2009","journal-title":"Tohoku Math. J."},{"key":"ref_8","first-page":"55","article-title":"\u03b7-Ricci solitons on Hopf hypersurfaces in complex spaceforms","volume":"57","author":"Calin","year":"2012","journal-title":"Rev. Roum. Math. Pures Appl."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1090\/conm\/071\/954419","article-title":"The Ricci flow on surfaces, Mathematics and general relativity","volume":"71","author":"Hamilton","year":"1988","journal-title":"Contemp. Math."},{"key":"ref_10","unstructured":"He, C., and Zhu, M. (2011). Ricci solitons on Sasakian manifolds. arXiv."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"79","DOI":"10.56424\/jts.v10i01.10572","article-title":"Submanifolds of Kenmotsu Manifolds and Ricci Solitons","volume":"10","author":"Hui","year":"2016","journal-title":"J. Tensor Soc."},{"key":"ref_12","first-page":"1279","article-title":"Some results in \u03b7-Ricci soliton and gradient \u03c1-Einstein soliton in a complete Riemannian manifold","volume":"34","author":"Mondal","year":"2019","journal-title":"Commun. Korean Math. Soc."},{"key":"ref_13","unstructured":"Roy, S., Dey, S., and Bhattacharyya, A. (2020). Some results on \u03b7-Yamabe Solitons in 3-dimensional trans-Sasakian manifold. arXiv."},{"key":"ref_14","first-page":"175","article-title":"Ricci Solitons On \u03b1-Sasakian Manifolds with Quarter Symmetric Metric Connection","volume":"4","author":"Siddiqui","year":"2024","journal-title":"Bull. Transilv. Univ. Bras. Ser. III Math. Comput. Sci."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1155","DOI":"10.1007\/s41478-020-00243-z","article-title":"Some Ricci solitons on Kenmotsu manifold","volume":"28","author":"Shanmukha","year":"2020","journal-title":"J. Anal."},{"key":"ref_16","unstructured":"Siddiqi, M., and Bahad\u0131r, O. (2018). \u03b7-Ricci Solitons on Kenmotsu manifold with Generalized Symmetric Metric Connection. arXiv."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Budhiraja, R., Siddiqui, A.N., and Alkhaldi, A.H. (2023). Solitonic View of Generic Contact CR-Submanifolds of Sasakian Manifolds with Concurrent Vector Fields. Mathematics, 11.","DOI":"10.3390\/math11122663"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Hakami, A.H., Siddiqi, M.D., Siddiqui, A.N., and Ahmad, K. (2023). Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory. Mathematics, 11.","DOI":"10.3390\/math11214452"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Alkhaldi, A.H., Ioan, P.L., Abolarinwa, A., and Ali, A. (2021). Characterization of almost Yamabe solitons and gradient almost Yamabe solitons with conformal vector fields. Symmetry, 13.","DOI":"10.3390\/sym13122362"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"343","DOI":"10.2996\/kmj\/1138846372","article-title":"On the concurrent vector fields of immersed manifolds","volume":"23","author":"Yano","year":"1971","journal-title":"Kodai Math. Semin. Rep."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Yano, K., and Kon, M. (1985). Structures on Manifolds, World Scientific.","DOI":"10.1142\/0067"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/4\/500\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T17:00:32Z","timestamp":1760029232000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/4\/500"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,26]]},"references-count":21,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2025,4]]}},"alternative-id":["sym17040500"],"URL":"https:\/\/doi.org\/10.3390\/sym17040500","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2025,3,26]]}}}