{"id":"https://openalex.org/W4411669450","doi":"https://doi.org/10.3390/axioms14070498","title":"Geometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten\u2013Van Kampen Connection","display_name":"Geometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten\u2013Van Kampen Connection","publication_year":2025,"publication_date":"2025-06-26","ids":{"openalex":"https://openalex.org/W4411669450","doi":"https://doi.org/10.3390/axioms14070498"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14070498","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070498","pdf_url":"https://www.mdpi.com/2075-1680/14/7/498/pdf?version=1750918613","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/2075-1680/14/7/498/pdf?version=1750918613","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100734621","display_name":"Mustafa Y\u0131ld\u0131r\u0131m","orcid":"https://orcid.org/0000-0002-7885-1492"},"institutions":[{"id":"https://openalex.org/I121596126","display_name":"Aksaray University","ror":"https://ror.org/026db3d50","country_code":"TR","type":"education","lineage":["https://openalex.org/I121596126"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Mustafa Y\u0131ld\u0131r\u0131m","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Art, Aksaray University, 68100 Aksaray, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Art, Aksaray University, 68100 Aksaray, T\u00fcrkiye","institution_ids":["https://openalex.org/I121596126"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014669774","display_name":"Selahatt\u0131\u0307n Beyend\u0131\u0307","orcid":"https://orcid.org/0000-0002-1037-6410"},"institutions":[{"id":"https://openalex.org/I20126385","display_name":"Inonu University","ror":"https://ror.org/04asck240","country_code":"TR","type":"education","lineage":["https://openalex.org/I20126385"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Selahattin Beyendi","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Inonu University, 44000 Malatya, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Inonu University, 44000 Malatya, T\u00fcrkiye","institution_ids":["https://openalex.org/I20126385"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031779876","display_name":"G\u00fclhan Ayar","orcid":"https://orcid.org/0000-0002-1018-4590"},"institutions":[{"id":"https://openalex.org/I46464968","display_name":"Karamano\u011flu Mehmetbey University","ror":"https://ror.org/037vvf096","country_code":"TR","type":"education","lineage":["https://openalex.org/I46464968"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"G\u00fclhan Ayar","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Karamanoglu Mehmet Bey University, 70100 Karaman, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Karamanoglu Mehmet Bey University, 70100 Karaman, T\u00fcrkiye","institution_ids":["https://openalex.org/I46464968"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049176358","display_name":"Nesip Aktan","orcid":"https://orcid.org/0000-0002-6825-4563"},"institutions":[{"id":"https://openalex.org/I4210107659","display_name":"Necmettin Erbakan University","ror":"https://ror.org/013s3zh21","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210107659"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Nesip Aktan","raw_affiliation_strings":["Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, 42090 Konya, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, 42090 Konya, T\u00fcrkiye","institution_ids":["https://openalex.org/I4210107659"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100734621"],"corresponding_institution_ids":["https://openalex.org/I121596126"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":8.0967,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.9692234,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"14","issue":"7","first_page":"498","last_page":"498"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9991000294685364,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9979000091552734,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.7549116611480713},{"id":"https://openalex.org/keywords/riemann-curvature-tensor","display_name":"Riemann curvature tensor","score":0.6688318252563477},{"id":"https://openalex.org/keywords/curvature-of-riemannian-manifolds","display_name":"Curvature of Riemannian manifolds","score":0.6393669247627258},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6271625757217407},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5615531802177429},{"id":"https://openalex.org/keywords/sectional-curvature","display_name":"Sectional curvature","score":0.5004925727844238},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4022361934185028},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3579632639884949},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3507920503616333},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3464050590991974},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.2632642984390259}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7549116611480713},{"id":"https://openalex.org/C183517385","wikidata":"https://www.wikidata.org/wiki/Q855112","display_name":"Riemann curvature tensor","level":3,"score":0.6688318252563477},{"id":"https://openalex.org/C146674193","wikidata":"https://www.wikidata.org/wiki/Q40139","display_name":"Curvature of Riemannian manifolds","level":5,"score":0.6393669247627258},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6271625757217407},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5615531802177429},{"id":"https://openalex.org/C42448751","wikidata":"https://www.wikidata.org/wiki/Q855622","display_name":"Sectional curvature","level":4,"score":0.5004925727844238},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4022361934185028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3579632639884949},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3507920503616333},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3464050590991974},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.2632642984390259}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14070498","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070498","pdf_url":"https://www.mdpi.com/2075-1680/14/7/498/pdf?version=1750918613","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:f6094fd514be4f1195ccbb9a0d8fc852","is_oa":true,"landing_page_url":"https://doaj.org/article/f6094fd514be4f1195ccbb9a0d8fc852","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 7, p 498 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14070498","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070498","pdf_url":"https://www.mdpi.com/2075-1680/14/7/498/pdf?version=1750918613","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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411669450.pdf","grobid_xml":"https://content.openalex.org/works/W4411669450.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W202111005","https://openalex.org/W1525341226","https://openalex.org/W1972895534","https://openalex.org/W1980370248","https://openalex.org/W1981991834","https://openalex.org/W1983690324","https://openalex.org/W2032877114","https://openalex.org/W2573860880","https://openalex.org/W2607095945","https://openalex.org/W2891040225","https://openalex.org/W2963505111","https://openalex.org/W3101839741","https://openalex.org/W3105146678","https://openalex.org/W3105495335","https://openalex.org/W4220794441","https://openalex.org/W4237726089","https://openalex.org/W4240085759","https://openalex.org/W4289888764","https://openalex.org/W4366283367","https://openalex.org/W4389056221","https://openalex.org/W4392653471","https://openalex.org/W4402200629","https://openalex.org/W6731808494","https://openalex.org/W6785122752"],"related_works":["https://openalex.org/W4321101434","https://openalex.org/W2058655323","https://openalex.org/W622020514","https://openalex.org/W3047643882","https://openalex.org/W4387831360","https://openalex.org/W2362849758","https://openalex.org/W3096219641","https://openalex.org/W2950554095","https://openalex.org/W4249794608","https://openalex.org/W2316101653"],"abstract_inverted_index":{"This":[0],"research":[1],"paper":[2],"aims":[3],"to":[4],"study":[5],"the":[6,14,19,25,34,57,77],"Q-curvature":[7,20],"tensor":[8,45],"on":[9],"Kenmotsu":[10,30,73],"manifolds":[11,31,42,74],"endowed":[12,75],"with":[13,56,76],"Schouten\u2013van":[15,58,78],"Kampen":[16,59,79],"connection.":[17,60,80],"Using":[18],"tensor,":[21],"whose":[22],"trace":[23],"is":[24],"well-known":[26],"Z-tensor,":[27],"we":[28,67],"characterized":[29],"by":[32],"introducing":[33],"notion":[35],"of":[36,64,72],"\u03b6-Q\u02dc":[37],"flat":[38,41],"and":[39,43,54],"\u03d5-Q\u02dc":[40],"novel":[44],"conditions,":[46],"such":[47],"as":[48],"Q\u02dc(\u03be,X)Q\u02dc=0,":[49],"Q\u02dc(\u03be,X)R\u02dc=0,":[50],"Q\u02dc(\u03be,X)C\u02dc=0,":[51],"Q\u02dc(\u03be,X)S\u02dc=0,":[52],"Q\u02dc(\u03be,X)H\u02dc=0,":[53],"Q\u02dc(\u03be,X)P\u02dc=0,":[55],"To":[61],"validate":[62],"some":[63],"our":[65],"results,":[66],"constructed":[68],"a":[69],"non-trivial":[70],"example":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}