{"id":"https://openalex.org/W7163554698","doi":"https://doi.org/10.37394/23206.2025.24.80","title":"Interrelations Among Concircular, Conformal and Conharmonic Curvatures in Fifth-Order Recurrent Finsler Spaces","display_name":"Interrelations Among Concircular, Conformal and Conharmonic Curvatures in Fifth-Order Recurrent Finsler Spaces","publication_year":2025,"publication_date":"2025-12-31","ids":{"openalex":"https://openalex.org/W7163554698","doi":"https://doi.org/10.37394/23206.2025.24.80"},"language":"en","primary_location":{"id":"doi:10.37394/23206.2025.24.80","doi":"https://doi.org/10.37394/23206.2025.24.80","is_oa":true,"landing_page_url":"https://doi.org/10.37394/23206.2025.24.80","pdf_url":"https://doi.org/10.37394/23206.2025.24.80","source":{"id":"https://openalex.org/S4210205242","display_name":"WSEAS TRANSACTIONS ON MATHEMATICS","issn_l":"1109-2769","issn":["1109-2769","2224-2880"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","poland-20","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310320666","host_organization_name":"World Scientific and Engineering Academy and Society","host_organization_lineage":["https://openalex.org/P4310320666"],"host_organization_lineage_names":["World Scientific and Engineering Academy and Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"WSEAS TRANSACTIONS ON MATHEMATICS","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37394/23206.2025.24.80","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053554417","display_name":"Adel Mohammed Ali Al-Qashbari","orcid":"https://orcid.org/0009-0001-5698-7217","observed_orcids":["https://orcid.org/0009-0001-5698-7217","https://orcid.org/0000-0002-4045-4520"]},"institutions":[{"id":"https://openalex.org/I70374766","display_name":"University of Aden","ror":"https://ror.org/02w043707","country_code":"YE","type":"education","lineage":["https://openalex.org/I70374766"]}],"countries":["YE"],"is_corresponding":false,"raw_author_name":"Adel M. Al-Qashbari","raw_affiliation_strings":["Department of Mathematics, Education Faculty, University of Aden, YEMEN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Education Faculty, University of Aden, YEMEN","institution_ids":["https://openalex.org/I70374766"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040994180","display_name":"Alaa A. Abdallah","orcid":"https://orcid.org/0000-0002-6484-1701","observed_orcids":["https://orcid.org/0000-0002-6484-1701"]},"institutions":[{"id":"https://openalex.org/I4405283402","display_name":"University of Abyan","ror":"https://ror.org/01kv4hv23","country_code":"YE","type":"education","lineage":["https://openalex.org/I4405283402"]}],"countries":["YE"],"is_corresponding":false,"raw_author_name":"Alaa A. Abdallah","raw_affiliation_strings":["Department of Mathematics, Education Faculty, Abyan University, Zinjibar, Abyan, YEMEN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Education Faculty, Abyan University, Zinjibar, Abyan, YEMEN","institution_ids":["https://openalex.org/I4405283402"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088242507","display_name":"Saeedah M. Baleedi","orcid":"https://orcid.org/0009-0001-6227-7369","observed_orcids":["https://orcid.org/0009-0001-6227-7369"]},"institutions":[{"id":"https://openalex.org/I4405283402","display_name":"University of Abyan","ror":"https://ror.org/01kv4hv23","country_code":"YE","type":"education","lineage":["https://openalex.org/I4405283402"]}],"countries":["YE"],"is_corresponding":false,"raw_author_name":"Saeedah M. Baleedi","raw_affiliation_strings":["Department of Mathematics, Education Faculty, Abyan University, Zinjibar, Abyan, YEMEN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Education Faculty, Abyan University, Zinjibar, Abyan, YEMEN","institution_ids":["https://openalex.org/I4405283402"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":null,"first_page":"802","last_page":"802"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":1.0,"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"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.0,"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/T12504","display_name":"Mathematics and Applications","score":0.0,"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/concircular-curvature-tensor","display_name":"concircular curvature tensor","score":0.9350000023841858},{"id":"https://openalex.org/keywords/weyl-tensor","display_name":"Weyl tensor","score":0.9950000047683716},{"id":"https://openalex.org/keywords/conharmonic-curvature-tensor","display_name":"conharmonic curvature tensor","score":0.9990000128746033},{"id":"https://openalex.org/keywords/lie-derivative","display_name":"Lie derivative","score":0.8690000176429749},{"id":"https://openalex.org/keywords/finsler-geometry","display_name":"Finsler geometry","score":0.8169999718666077}],"concepts":[{"id":"https://openalex.org/C183517385","wikidata":"https://www.wikidata.org/wiki/Q855112","display_name":"Riemann curvature tensor","level":3,"score":0.8741000294685364},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.7480000257492065},{"id":"https://openalex.org/C21511379","wikidata":"https://www.wikidata.org/wiki/Q4388622","display_name":"Ricci decomposition","level":4,"score":0.7117999792098999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7045999765396118},{"id":"https://openalex.org/C198959055","wikidata":"https://www.wikidata.org/wiki/Q869108","display_name":"Weyl tensor","level":4,"score":0.7013999819755554},{"id":"https://openalex.org/C8466233","wikidata":"https://www.wikidata.org/wiki/Q757269","display_name":"Metric tensor","level":3,"score":0.6351000070571899},{"id":"https://openalex.org/C14440778","wikidata":"https://www.wikidata.org/wiki/Q550929","display_name":"Einstein tensor","level":4,"score":0.5094000101089478},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.46470001339912415},{"id":"https://openalex.org/C77791780","wikidata":"https://www.wikidata.org/wiki/Q839832","display_name":"Curvature form","level":5,"score":0.45260000228881836},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45170000195503235},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.43799999356269836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4052000045776367},{"id":"https://openalex.org/C12089564","wikidata":"https://www.wikidata.org/wiki/Q1195879","display_name":"Ricci curvature","level":3,"score":0.37709999084472656},{"id":"https://openalex.org/C148125525","wikidata":"https://www.wikidata.org/wiki/Q904927","display_name":"Tensor density","level":4,"score":0.36649999022483826},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.32850000262260437},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.27639999985694885},{"id":"https://openalex.org/C169316501","wikidata":"https://www.wikidata.org/wiki/Q2498782","display_name":"Finsler manifold","level":4,"score":0.27639999985694885},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.27070000767707825},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.26930001378059387},{"id":"https://openalex.org/C124007464","wikidata":"https://www.wikidata.org/wiki/Q428091","display_name":"Tensor contraction","level":3,"score":0.2648000121116638},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.25619998574256897},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25459998846054077}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37394/23206.2025.24.80","doi":"https://doi.org/10.37394/23206.2025.24.80","is_oa":true,"landing_page_url":"https://doi.org/10.37394/23206.2025.24.80","pdf_url":"https://doi.org/10.37394/23206.2025.24.80","source":{"id":"https://openalex.org/S4210205242","display_name":"WSEAS TRANSACTIONS ON MATHEMATICS","issn_l":"1109-2769","issn":["1109-2769","2224-2880"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","poland-20","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310320666","host_organization_name":"World Scientific and Engineering Academy and Society","host_organization_lineage":["https://openalex.org/P4310320666"],"host_organization_lineage_names":["World Scientific and Engineering Academy and Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"WSEAS TRANSACTIONS ON MATHEMATICS","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37394/23206.2025.24.80","doi":"https://doi.org/10.37394/23206.2025.24.80","is_oa":true,"landing_page_url":"https://doi.org/10.37394/23206.2025.24.80","pdf_url":"https://doi.org/10.37394/23206.2025.24.80","source":{"id":"https://openalex.org/S4210205242","display_name":"WSEAS TRANSACTIONS ON MATHEMATICS","issn_l":"1109-2769","issn":["1109-2769","2224-2880"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","poland-20","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310320666","host_organization_name":"World Scientific and Engineering Academy and Society","host_organization_lineage":["https://openalex.org/P4310320666"],"host_organization_lineage_names":["World Scientific and Engineering Academy and Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"WSEAS TRANSACTIONS ON MATHEMATICS","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7163554698.pdf","grobid_xml":"https://content.openalex.org/works/W7163554698.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W15330580","https://openalex.org/W1981662113","https://openalex.org/W3207883063","https://openalex.org/W4200543844","https://openalex.org/W4313593742","https://openalex.org/W4380629879","https://openalex.org/W4400615016","https://openalex.org/W4417045458"],"related_works":["https://openalex.org/W4409533564","https://openalex.org/W6968516795","https://openalex.org/W7163735120","https://openalex.org/W4406057669","https://openalex.org/W4417489887","https://openalex.org/W4402543572","https://openalex.org/W7161769548","https://openalex.org/W7170053092","https://openalex.org/W4390413455","https://openalex.org/W6911977427"],"abstract_inverted_index":{"The":[0],"significance":[1],"of":[2,9,28,39,70],"this":[3],"research":[4],"lies":[5],"in":[6,42,55,68,156],"the":[7,13,26,36,50,80,83,105,122,129,144,157],"generalization":[8],"curvature":[10,15,31,52,64,85,90,95,101,119,131,135,146],"tensors,":[11],"particularly":[12],"concircular":[14,51,84,130,145],"tensor,":[16],"which":[17],"is":[18],"studied":[19],"as":[20,150],"a":[21],"fifth":[22,57,151],"recurrent":[23,58,152],"tensor":[24,53,65,86,91,96,102,107,132,136,147],"within":[25],"framework":[27],"Cartan\u2019s":[29],"fourth":[30,63],"tensor.":[32],"It":[33],"contributes":[34],"to":[35],"fundamental":[37],"understanding":[38],"geometric":[40],"properties":[41],"Finsler":[43,59],"spaces.":[44],"This":[45],"paper":[46],"builds":[47],"upon":[48],"new":[49],"\ud835\udc40\ud835\udc56\ud835\udc57\ud835\udc58\u210e":[54,87,148],"generaralized":[56],"space":[60],"that":[61,143],"Cartan's":[62],"\ud835\udc3e\ud835\udc57\ud835\udc58\u210e":[66],"\ud835\udc56":[67,138],"sense":[69],"Berwald":[71],"(\ud835\udc3a\u212c\ud835\udc3e":[72],"\u2212":[73],"5\ud835\udc45\ud835\udc39\ud835\udc5b)":[74],"via":[75],"Lie":[76,112,154],"derivative.":[77,114],"We":[78,141],"obtain":[79],"relation":[81],"between":[82],",":[88,93],"conformal":[89],"\ud835\udc36\ud835\udc56\ud835\udc57\ud835\udc58\u210e":[92],"conharmonic":[94,134],"\ud835\udc3f\ud835\udc56\ud835\udc58\u210e":[97],"\ud835\udc5f":[98],"and":[99,125,133],"associate":[100],"\ud835\udc45\ud835\udc56\ud835\udc57\ud835\udc58\u210e":[103],"if":[104],"metric":[106],"\ud835\udc54\ud835\udc5f\ud835\udc57":[108],"=":[109],"1":[110],"by":[111,153],"-":[113],"Also,":[115],"we":[116],"show":[117],"these":[118],"tensors":[120],"have":[121],"same":[123],"extension":[124],"direction.":[126],"In":[127],"addition,":[128],"\ud835\udc3f\ud835\udc57\ud835\udc58\u210e":[137],"are":[139],"co-directional.":[140],"prove":[142],"behaves":[149],"derivative":[155],"main":[158],"space.":[159]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-06-05T00:00:00"}