{"created":"2023-06-19T10:29:43.831930+00:00","id":9718,"links":{},"metadata":{"_buckets":{"deposit":"6a533182-794b-47d4-9722-8517af7f37cd"},"_deposit":{"created_by":18,"id":"9718","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"9718"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00009718","sets":["216:319","46"]},"author_link":["21184","55300","55301","55302"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-12-14","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"653","bibliographicPageStart":"631","bibliographicVolumeNumber":"69","bibliographic_titles":[{"bibliographic_title":"The Quarterly Journal of Mathematics","bibliographic_titleLang":"en"}]}]},"item_79_description_23":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_79_description_7":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper, we introduce a one-parameter family of Legendre curves in the unit spherical bundle over the unit sphere and the curvature. We give the existence and uniqueness theorems for one-parameter families of spherical Legendre curves by using the curvatures. Then we define an envelope for the one-parameter family of Legendre curves in the unit spherical bundle. We also consider the parallel curves and evolutes of one-parameter families of Legendre curves in the unit spherical bundle and their envelopes. Moreover, we give relationships among one-parameter families of Legendre curves in the unit spherical bundle over the unit sphere and one-parameter families of Legendre curves in the unit tangent bundle over the Euclidean plane.","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_text":"10.1093/qmath/hax056","subitem_link_url":"https://doi.org/10.1093/qmath/hax056"}]},"item_79_link_5":{"attribute_name":"室蘭工業大学研究者データベースへのリンク","attribute_value_mlt":[{"subitem_link_text":"高橋 雅朋（TAKAHASHI Masatomo）","subitem_link_url":"http://rdsoran.muroran-it.ac.jp/html/100000191_ja.html"}]},"item_79_publisher_11":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Oxford University Press","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":"10.1093/qmath/hax056","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© The Author 2017. Published by Oxford University Press. All rights reserved. This is a pre-copyedited, author-produced version of an article accepted for publication in The Quarterly Journal of Mathematics following peer review. The version of record Yanlin Li, Donghe Pei, Masatomo Takahashi, Haiou Yu; Envelopes of legendre curves in the unit spherical bundle over the unit sphere, The Quarterly Journal of Mathematics, Volume 69, Issue 2, 1 June 2018, Pages 631–653 is available online at: http://dx.doi.org/10.1093/qmath/hax056","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0033-5606","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_ab4af688f83e57aa","subitem_version_type":"AM"}]},"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":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[],"affiliationNames":[{"affiliationName":""}]}],"creatorNames":[{"creatorName":"LI, Yanlin","creatorNameLang":"en"}],"familyNames":[{}],"givenNames":[{}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"PEI, Donghe","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorAffiliations":[{"affiliationNameIdentifiers":[{}],"affiliationNames":[{},{}]}],"creatorNames":[{"creatorName":"TAKAHASHI,  Masatomo","creatorNameLang":"en"},{"creatorName":"高橋, 雅朋","creatorNameLang":"ja"},{"creatorName":"タカハシ, マサトモ","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{}]},{"creatorNames":[{"creatorName":"YU, Haiou","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-12-14"}],"displaytype":"detail","filename":"QJM_69_2_631_653.pdf","filesize":[{"value":"1.2 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"QJM_69_2_631_653","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/9718/files/QJM_69_2_631_653.pdf"},"version_id":"358a1276-b5fd-478a-a6db-3d9ddf72468d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Envelope","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Spherical Legendre curve","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Legendre 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":"Envelopes of legendre curves in the unit spherical bundle over the unit sphere","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Envelopes of legendre curves in the unit spherical bundle over the unit sphere","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","319"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-07-20"},"publish_date":"2018-07-20","publish_status":"0","recid":"9718","relation_version_is_last":true,"title":["Envelopes of legendre curves in the unit spherical bundle over the unit sphere"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-01-31T06:32:52.616420+00:00"}