{"id":"https://openalex.org/W4416664982","doi":"https://doi.org/10.3390/axioms14120858","title":"The Generalized Symmetric Non-Metric Connection and Its Applications to \u2217-Conformal \u03b7-Ricci\u2013Yamabe Solitons on \u03b1-Cosymplectic Manifolds","display_name":"The Generalized Symmetric Non-Metric Connection and Its Applications to \u2217-Conformal \u03b7-Ricci\u2013Yamabe Solitons on \u03b1-Cosymplectic Manifolds","publication_year":2025,"publication_date":"2025-11-23","ids":{"openalex":"https://openalex.org/W4416664982","doi":"https://doi.org/10.3390/axioms14120858"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14120858","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14120858","pdf_url":"https://www.mdpi.com/2075-1680/14/12/858/pdf?version=1763978915","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/12/858/pdf?version=1763978915","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5116347509","display_name":"Laltluangkima Chawngthu","orcid":"https://orcid.org/0009-0002-1727-5353"},"institutions":[{"id":"https://openalex.org/I195459967","display_name":"Mizoram University","ror":"https://ror.org/04b1m3e94","country_code":"IN","type":"education","lineage":["https://openalex.org/I195459967"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Laltluangkima Chawngthu","raw_affiliation_strings":["Department of Mathematics and Computer Science, Mizoram University, Tanhril, Aizawl 796004, Mizoram, India"],"raw_orcid":"https://orcid.org/0009-0002-1727-5353","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Mizoram University, Tanhril, Aizawl 796004, Mizoram, India","institution_ids":["https://openalex.org/I195459967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002886300","display_name":"Rajesh Kumar","orcid":"https://orcid.org/0000-0002-6779-4883"},"institutions":[{"id":"https://openalex.org/I195459967","display_name":"Mizoram University","ror":"https://ror.org/04b1m3e94","country_code":"IN","type":"education","lineage":["https://openalex.org/I195459967"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajesh Kumar","raw_affiliation_strings":["Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, Mizoram, India"],"raw_orcid":"https://orcid.org/0000-0002-6779-4883","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, Mizoram, India","institution_ids":["https://openalex.org/I195459967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059378919","display_name":"O\u011fuzhan Bahad\u0131r","orcid":"https://orcid.org/0000-0001-5054-8865"},"institutions":[{"id":"https://openalex.org/I46017","display_name":"Kahramanmara\u015f S\u00fct\u00e7\u00fc \u0130mam University","ror":"https://ror.org/03gn5cg19","country_code":"TR","type":"education","lineage":["https://openalex.org/I46017"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"O\u011fuzhan Bahad\u0131r","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Kahramanmaras Sutcu Imam University, Kahramanmaras 46100, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-5054-8865","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Kahramanmaras Sutcu Imam University, Kahramanmaras 46100, Turkey","institution_ids":["https://openalex.org/I46017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056024764","display_name":"Md Aquib","orcid":"https://orcid.org/0000-0002-9343-0725"},"institutions":[{"id":"https://openalex.org/I195459967","display_name":"Mizoram University","ror":"https://ror.org/04b1m3e94","country_code":"IN","type":"education","lineage":["https://openalex.org/I195459967"]},{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["IN","SA"],"is_corresponding":true,"raw_author_name":"Md Aquib","raw_affiliation_strings":["Department of Mathematics and Computer Science, Mizoram University, Tanhril, Aizawl 796004, Mizoram, India","Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-9343-0725","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Mizoram University, Tanhril, Aizawl 796004, Mizoram, India","institution_ids":["https://openalex.org/I195459967"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056024764"],"corresponding_institution_ids":["https://openalex.org/I195459967","https://openalex.org/I240666556"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22346119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"12","first_page":"858","last_page":"858"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.4690000116825104,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.4690000116825104,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.22020000219345093,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.03229999914765358,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.8251000046730042},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5982999801635742},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5857999920845032},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5371000170707703},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4916999936103821},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4586000144481659}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.8251000046730042},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5982999801635742},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5857999920845032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5604000091552734},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5371000170707703},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4916999936103821},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4586000144481659},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4523000121116638},{"id":"https://openalex.org/C76453154","wikidata":"https://www.wikidata.org/wiki/Q788494","display_name":"Metric connection","level":5,"score":0.43160000443458557},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.3776000142097473},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36070001125335693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33820000290870667},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.3133000135421753},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.2921999990940094},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2768000066280365}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14120858","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14120858","pdf_url":"https://www.mdpi.com/2075-1680/14/12/858/pdf?version=1763978915","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f942aa13839e4fc68c0d8f9f4a723c40","is_oa":true,"landing_page_url":"https://doaj.org/article/f942aa13839e4fc68c0d8f9f4a723c40","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 12, p 858 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14120858","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14120858","pdf_url":"https://www.mdpi.com/2075-1680/14/12/858/pdf?version=1763978915","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5174915960","display_name":null,"funder_award_id":"IMSIU-DDRSP2502","funder_id":"https://openalex.org/F4320325415","funder_display_name":"Al-Imam Muhammad Ibn Saud Islamic University"}],"funders":[{"id":"https://openalex.org/F4320325415","display_name":"Al-Imam Muhammad Ibn Saud Islamic University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416664982.pdf","grobid_xml":"https://content.openalex.org/works/W4416664982.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1525341226","https://openalex.org/W1529750658","https://openalex.org/W1530161281","https://openalex.org/W1963652842","https://openalex.org/W2011966949","https://openalex.org/W2016190824","https://openalex.org/W2021935068","https://openalex.org/W2031077010","https://openalex.org/W2061461903","https://openalex.org/W2064820517","https://openalex.org/W2896850319","https://openalex.org/W2942794965","https://openalex.org/W2963562125","https://openalex.org/W3081693733","https://openalex.org/W3188272889","https://openalex.org/W3211513336","https://openalex.org/W4210828156","https://openalex.org/W4212889126","https://openalex.org/W4249279429","https://openalex.org/W4283121109","https://openalex.org/W4385955093","https://openalex.org/W4394575342","https://openalex.org/W4407786614"],"related_works":[],"abstract_inverted_index":{"This":[0,57,122],"paper":[1,58],"investigates":[2],"the":[3,24,52,55,61,82,90,96,119,127,131,135,140],"geometric":[4,74],"properties":[5,65],"of":[6,32,48,54,66,85,130],"\u2217-conformal":[7,67,86,113],"\u03b7-Ricci\u2013Yamabe":[8],"solitons":[9],"(\u2217-conformal":[10],"\u03b7-RYS)":[11],"on":[12,44,81,92],"\u03b1-cosymplectic":[13,106],"manifolds":[14,50],"(\u03b1\u2212CSM)":[15],"equipped":[16],"with":[17,89,116],"a":[18,39,104,112],"newly":[19],"introduced":[20],"connection":[21,28,34],"known":[22],"as":[23],"generalized":[25],"symmetric":[26],"non-metric":[27],"(GSNMC).":[29],"The":[30],"existence":[31],"this":[33],"is":[35,42,79,102,108],"rigorously":[36],"established,":[37],"and":[38,64,133],"thorough":[40],"analysis":[41],"conducted":[43],"various":[45],"curvature":[46],"characteristics":[47],"\u03b1\u2212CSM":[49],"in":[51,72,139],"context":[53],"GSNMC.":[56],"further":[59],"explores":[60],"behavior,":[62],"classification,":[63],"\u03b7-RYS,":[68],"including":[69],"their":[70],"applications":[71],"different":[73],"settings.":[75],"A":[76],"particular":[77],"focus":[78],"placed":[80],"harmonic":[83],"interpretation":[84],"\u03b7-RYS":[87,114],"associated":[88],"GSNMC":[91],"\u03b1\u2212CSM.":[93],"To":[94],"substantiate":[95],"theoretical":[97,136],"developments,":[98],"an":[99],"explicit":[100],"example":[101,123],"provided:":[103],"five-dimensional":[105],"metric":[107],"constructed":[109],"that":[110],"incorporates":[111],"structure":[115],"respect":[117],"to":[118,125],"proposed":[120],"connection.":[121],"serves":[124],"illustrate":[126],"practical":[128],"applicability":[129],"results":[132],"validates":[134],"framework":[137],"presented":[138],"paper.":[141]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-11-25T00:00:00"}