{"created":"2023-06-19T10:29:39.478332+00:00","id":9615,"links":{},"metadata":{"_buckets":{"deposit":"c05b1e5a-89fe-485d-b6e4-1eccebde1f10"},"_deposit":{"created_by":18,"id":"9615","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"9615"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00009615","sets":["216:319","46"]},"author_link":["21184"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"355","bibliographicPageStart":"337","bibliographicVolumeNumber":"675","bibliographic_titles":[{"bibliographic_title":"Contemporary 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 order to consider singular curves in the unit sphere, we consider Legendre curves in the unit spherical bundle over the unit sphere. By using a moving frame, we de
ne the curvature of Legendre curves in the unit spherical bundle. As applications, we give a relationship among Legendre curves in the unit spherical bundle, Legendre curves in the unit tangent bundle and framed curves in the Euclidean space, respectively. Moreover, we de
ne not only an evolute of a front, but also an evolute of a frontal in the unit sphere under certain conditions. Since the evolute of a front is also a front, we can take evolute again. On the other hand, the evolute of a frontal if exists, is also a frontal. We give an existence and uniqueness conditions of the evolute of a frontal.","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":"10.1090/conm/675/13600","subitem_link_url":"https://doi.org/10.1090/conm/675/13600"}]},"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":"AMS","subitem_publisher_language":"en"}]},"item_79_relation_13":{"attribute_name":"ISBN","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"9781470422059","subitem_relation_type_select":"ISBN"}}]},"item_79_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1090/conm/675/13600","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2016 AMS (CC BY-NC-ND Creative Commons License)","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0271-4132","subitem_source_identifier_type":"PISSN"}]},"item_79_subject_9":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"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":[{},{}]}],"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":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-03-01"}],"displaytype":"detail","filename":"CONM_675_337_355.pdf","filesize":[{"value":"150.8 kB"}],"format":"application/pdf","licensetype":"license_5","mimetype":"application/pdf","url":{"label":"CONM_675_337_355","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/9615/files/CONM_675_337_355.pdf"},"version_id":"55b9f2f3-daa6-4d8f-a189-84492245813b"}]},"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":"Legendre curves in the unit spherical bundle over the unit sphere and evolutes","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Legendre curves in the unit spherical bundle over the unit sphere and evolutes","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","319"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-03-01"},"publish_date":"2018-03-01","publish_status":"0","recid":"9615","relation_version_is_last":true,"title":["Legendre curves in the unit spherical bundle over the unit sphere and evolutes"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-10-24T01:43:51.688316+00:00"}