{"created":"2024-03-19T00:04:02.618686+00:00","id":2000170,"links":{},"metadata":{"_buckets":{"deposit":"1756d8ed-f5af-4651-9601-072420e8bdd2"},"_deposit":{"created_by":20,"id":"2000170","owner":"20","owners":[20],"pid":{"revision_id":0,"type":"depid","value":"2000170"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:02000170","sets":["216:319","46"]},"author_link":[],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2023","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicVolumeNumber":"114","bibliographic_titles":[{"bibliographic_title":"Journal of Geometry","bibliographic_titleLang":"en"}]}]},"item_79_description_7":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"A Bertrand curve in the 4-dimensional Euclidean space is a space curve whose rst\nnormal line is the same as the rst normal line of another curve. On the other hand, a\nMannheim curve in the 4-dimensional Euclidean space is a space curve whose rst normal\nline is the same as the second or third normal line of another curve. In this paper, we\ninvestigate not only Bertrand and Mannheim curves of regular space curves, but also\nBertrand and Mannheim curves of singular space curves. As singular curves, we consider\nframed curves. We give conditions for framed curves to become Bertrand and Mannheim\ncurves. It is well-known that the Bertrand curves of regular curves do not exist under a\ncondition in the 4-dimensional Euclidean space. However, even if regular curves, Bertrand\ncurves exist as framed curves.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_79_link_17":{"attribute_name":"出版者版へのリンク","attribute_value_mlt":[{"subitem_link_language":"en","subitem_link_text":"https://doi.org/10.1007/s00022-023-00673-7","subitem_link_url":"https://doi.org/10.1007/s00022-023-00673-7"}]},"item_79_publisher_11":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer","subitem_publisher_language":"en"}]},"item_79_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1007/s00022-023-00673-7","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2023 The Author(s), under exclusive licence to Springer","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0047-2468","subitem_source_identifier_type":"PISSN"}]},"item_79_version_type_21":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Honda, Shun’ichi","creatorNameLang":"en"}]},{"creatorAffiliations":[{"affiliationNames":[{},{}]}],"creatorNames":[{"creatorName":"Takahashi, Masatomo","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"Yu, Haiou","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2024-04-15"}],"displaytype":"detail","filename":"Bertrand-Mannhaeim-R4_revised.pdf","filesize":[{"value":"308 KB"}],"format":"application/pdf","url":{"url":"https://muroran-it.repo.nii.ac.jp/record/2000170/files/Bertrand-Mannhaeim-R4_revised.pdf"},"version_id":"57c188c7-eb23-46ce-ae9e-e1bbf2bc7058"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Bertrand curve","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Mannheim curve","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"framed curve","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"singularity","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space","subitem_title_language":"en"}]},"item_type_id":"79","owner":"20","path":["46","319"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2024-04-15"},"publish_date":"2024-04-15","publish_status":"0","recid":"2000170","relation_version_is_last":true,"title":["Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space"],"weko_creator_id":"20","weko_shared_id":-1},"updated":"2024-03-19T00:26:17.671751+00:00"}