{"created":"2023-06-26T11:01:23.378150+00:00","id":2086,"links":{},"metadata":{"_buckets":{"deposit":"1421bf69-e9c7-40f7-9e31-af339ebf9521"},"_deposit":{"created_by":30,"id":"2086","owners":[30],"pid":{"revision_id":0,"type":"depid","value":"2086"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00002086","sets":["6:29"]},"author_link":["13494","13493","13492"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-02-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2246","bibliographicPageStart":"20200617","bibliographicVolumeNumber":"477","bibliographic_titles":[{},{"bibliographic_title":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Seguin, Brian"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Chen, Yi-chao"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Fried, Eliot"}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"There are two familiar constructions of a developable surface from a space curve. The tangent developable is a ruled surface for which the rulings are tangent to the curve at each point and relative to this surface the absolute value of the geodesic curvature κg of the curve equals the curvature κ. The alternative construction is the rectifying developable. The geodesic curvature of the curve relative to any such surface vanishes. We show that there is a family of developable surfaces that can be generated from a curve, one surface for each function k that is defined on the curve and satisfies |k| ≤ κ, and that the geodesic curvature of the curve relative to each such constructed surface satisfies κg = k.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"The Royal Society"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1098/rspa.2020.0617","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_17":{"attribute_name":"Related site","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://royalsocietypublishing.org/doi/full/10.1098/rspa.2020.0617","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2021 The Author(s)."}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1364-5021","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"1471-2946","subitem_source_identifier_type":"ISSN"}]},"item_10001_version_type_20":{"attribute_name":"Author's flag","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-05-17"}],"displaytype":"detail","filename":"rspa.2020.0617.pdf","filesize":[{"value":"684.0 kB"}],"format":"application/pdf","license_note":"Creative Commons Attribution 4.0 International(https://creativecommons.org/licenses/by/4.0/)","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"rspa.2020.0617","url":"https://oist.repo.nii.ac.jp/record/2086/files/rspa.2020.0617.pdf"},"version_id":"a174b4a9-1a56-45f7-9dae-1779818bc1d0"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ruled surface","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"rectifying developable","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"tangent developable","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"geodesic curvature","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":"Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"30","path":["29"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-05-17"},"publish_date":"2021-05-17","publish_status":"0","recid":"2086","relation_version_is_last":true,"title":["Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve"],"weko_creator_id":"30","weko_shared_id":30},"updated":"2023-06-26T11:37:39.833278+00:00"}