{"id":"https://openalex.org/W3171247581","doi":"https://doi.org/10.66833/tjos-2021-0006","title":"The Geometry of Ribbons","display_name":"The Geometry of Ribbons","publication_year":2021,"publication_date":"2021-04-30","ids":{"openalex":"https://openalex.org/W3171247581","doi":"https://doi.org/10.66833/tjos-2021-0006","mag":"3171247581"},"language":"en","primary_location":{"id":"doi:10.66833/tjos-2021-0006","doi":"https://doi.org/10.66833/tjos-2021-0006","is_oa":false,"landing_page_url":"https://doi.org/10.66833/tjos-2021-0006","pdf_url":null,"source":{"id":"https://openalex.org/S7407063063","display_name":"Turkish Journal of Science","issn_l":"2587-0971","issn":["2587-0971"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Turkish Journal of Science","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071409980","display_name":"Kadri Arslan","orcid":"https://orcid.org/0000-0002-1440-7050","observed_orcids":["https://orcid.org/0000-0002-1440-7050"]},"institutions":[{"id":"https://openalex.org/I131835042","display_name":"Bursa Uluda\u011f \u00dcni\u0307versi\u0307tesi\u0307","ror":"https://ror.org/03tg3eb07","country_code":"TR","type":"education","lineage":["https://openalex.org/I131835042"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Kadri Arslan","raw_affiliation_strings":["Department of Mathematics, Bursa Uludag University, 16059 Bursa, TURKEY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bursa Uludag University, 16059 Bursa, TURKEY","institution_ids":["https://openalex.org/I131835042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051856866","display_name":"Bet\u00fcl Bulca","orcid":"https://orcid.org/0000-0001-5861-0184","observed_orcids":["https://orcid.org/0000-0001-5861-0184"]},"institutions":[{"id":"https://openalex.org/I131835042","display_name":"Bursa Uluda\u011f \u00dcni\u0307versi\u0307tesi\u0307","ror":"https://ror.org/03tg3eb07","country_code":"TR","type":"education","lineage":["https://openalex.org/I131835042"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Betul Bulca","raw_affiliation_strings":["Department of Mathematics, Bursa Uludag University, 16059 Bursa, TURKEY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bursa Uludag University, 16059 Bursa, TURKEY","institution_ids":["https://openalex.org/I131835042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061965024","display_name":"G\u00fcnay \u00d6zt\u00fcrk","orcid":"https://orcid.org/0000-0002-1608-0354","observed_orcids":["https://orcid.org/0000-0002-1608-0354"]},"institutions":[{"id":"https://openalex.org/I4387154896","display_name":"\u0130zmir Demokrasi \u00dcniversitesi","ror":"https://ror.org/04c152q53","country_code":"TR","type":"education","lineage":["https://openalex.org/I4387154896"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Gunay Ozturk","raw_affiliation_strings":["Department of Mathematics, Izmir Democracy University, 35140 Izmir, TURKEY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Izmir Democracy University, 35140 Izmir, TURKEY","institution_ids":["https://openalex.org/I4387154896"]}]}],"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":false,"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":"6","issue":"1","first_page":"36","last_page":"44"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9955999851226807,"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":0.9955999851226807,"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":0.002300000051036477,"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":0.000699999975040555,"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/ribbons","display_name":"ribbons","score":0.9800000190734863},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"mean curvature","score":0.9779999852180481},{"id":"https://openalex.org/keywords/centerline","display_name":"centerline","score":0.6209999918937683},{"id":"https://openalex.org/keywords/three-dimensional-euclidean-space","display_name":"three-dimensional Euclidean space","score":0.7229999899864197},{"id":"https://openalex.org/keywords/differential-geometry-of-surfaces","display_name":"differential geometry of surfaces","score":0.7120000123977661}],"concepts":[{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.6304749846458435},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.4271603226661682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22403836250305176}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.66833/tjos-2021-0006","doi":"https://doi.org/10.66833/tjos-2021-0006","is_oa":false,"landing_page_url":"https://doi.org/10.66833/tjos-2021-0006","pdf_url":null,"source":{"id":"https://openalex.org/S7407063063","display_name":"Turkish Journal of Science","issn_l":"2587-0971","issn":["2587-0971"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Turkish Journal of Science","raw_type":"journal-article"},{"id":"pmh:oai:dergipark.org.tr:article/891720","doi":null,"is_oa":false,"landing_page_url":"https://dergipark.org.tr/en/pub/tjos/article/891720","pdf_url":null,"source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"mag:3171247581","doi":null,"is_oa":false,"landing_page_url":"https://dergipark.org.tr/tr/download/article-file/1619971","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W266205792","https://openalex.org/W1995570756","https://openalex.org/W2016823177","https://openalex.org/W2062648029","https://openalex.org/W2105284786","https://openalex.org/W2807082236","https://openalex.org/W3012579046","https://openalex.org/W7095207925"],"related_works":["https://openalex.org/W2974302349","https://openalex.org/W7220920950","https://openalex.org/W7118261974","https://openalex.org/W2073321385","https://openalex.org/W63335064","https://openalex.org/W3130160746","https://openalex.org/W4393445179","https://openalex.org/W2008312020","https://openalex.org/W2406960943","https://openalex.org/W4407011726"],"abstract_inverted_index":{"In":[0,44],"this":[1],"study,":[2],"the":[3,6,9,14,22,26,29,32,37,40],"representations":[4],"of":[5,25,39],"ribbons":[7],"in":[8],"3-dimensional":[10],"Euclidean":[11],"space":[12],"as":[13],"developable":[15],"ruled":[16],"surface":[17],"are":[18,42,50],"given.":[19,51],"By":[20],"calculating":[21],"average":[23],"curvature":[24,34],"ribbon":[27],"surface,":[28],"results":[30,49],"regarding":[31],"mean":[33],"according":[35],"to":[36],"character":[38],"centerline":[41],"obtained.":[43],"addition,":[45],"examples":[46],"supporting":[47],"these":[48]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-06-22T00:00:00"}
