{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:08:22Z","timestamp":1760144902432,"version":"build-2065373602"},"reference-count":45,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,5,31]],"date-time":"2024-05-31T00:00:00Z","timestamp":1717113600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Fundamental Research Funds for the Central Universities","award":["2572022BC06"],"award-info":[{"award-number":["2572022BC06"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this research article, we concentrate on the exploration of submanifolds in an (LCS)m-manifold B\u02dc. We examine these submanifolds in the context of two distinct vector fields, namely, the characteristic vector field and the concurrent vector field. Initially, we consider some classifications of \u03b7-Ricci\u2013Bourguignon (in short, \u03b7-RB) solitons on both invariant and anti-invariant submanifolds of B\u02dc employing the characteristic vector field. We establish several significant findings through this process. Furthermore, we investigate additional results by using \u03b7-RB solitons on invariant submanifolds of B\u02dc with concurrent vector fields, and discuss a supporting example.<\/jats:p>","DOI":"10.3390\/sym16060675","type":"journal-article","created":{"date-parts":[[2024,6,3]],"date-time":"2024-06-03T10:06:01Z","timestamp":1717409161000},"page":"675","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Solitons of \u03b7-Ricci\u2013Bourguignon Type on Submanifolds in (LCS)m Manifolds"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3985-0654","authenticated-orcid":false,"given":"Lixu","family":"Yan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Northeast Forestry University, Harbin 150040, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-6302-5533","authenticated-orcid":false,"family":"Vandana","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Humanities, Maharishi Markandeshwar (Deemed to Be University), Mullana, Ambala 133207, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aliya Naaz","family":"Siddiqui","sequence":"additional","affiliation":[{"name":"Division of Mathematics, School of Basic Sciences, Galgotias University, Greater Noida 203201, Uttar Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3238-6484","authenticated-orcid":false,"given":"Halil Ibrahim","family":"Yoldas","sequence":"additional","affiliation":[{"name":"Department of Management Information Systems, Adana Alparslan Turkes Science and Technology University, 01250 Adana, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1614-3228","authenticated-orcid":false,"given":"Yanlin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,31]]},"reference":[{"key":"ref_1","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. 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