{"created":"2023-06-19T10:28:59.626627+00:00","id":8625,"links":{},"metadata":{"_buckets":{"deposit":"a6d90eb4-698e-4ff5-99d8-2b2f9ee62fc6"},"_deposit":{"created_by":18,"id":"8625","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"8625"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00008625","sets":["216:319","46"]},"author_link":["21184","42782"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-05-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"159","bibliographicPageStart":"133","bibliographicVolumeNumber":"437","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Analysis and Applications","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":"We consider the differential geometry of evolutes of singular curves in hyperbolic 2-space and de Sitter 2-space. Firstly, as an application of the basic Legendrian duality theorems, we give the definitions of frontals in hyperbolic 2-space or de Sitter 2-space, respectively. We also give the notions of moving frames along the frontals. By using the moving frames, we define the evolutes of spacelike fronts and timelike fronts, and investigate the geometric properties of these evolutes. As a result, these evolutes can be viewed as wavefronts from the viewpoint of Legendrian singularity theory. At last, we study the relationships among these evolutes.","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":"10.1016/j.jmaa.2015.12.029","subitem_link_url":"https://doi.org/10.1016/j.jmaa.2015.12.029"}]},"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":"Elsevier","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":"10.1016/j.jmaa.2015.12.029","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-247X","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"1096-0813","subitem_source_identifier_type":"EISSN"}]},"item_79_source_id_14":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00252847","subitem_source_identifier_type":"NCID"},{"subitem_source_identifier":"AA11539130","subitem_source_identifier_type":"NCID"}]},"item_79_subject_9":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"414","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":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"CHEN, Liang","creatorNameLang":"en"}],"familyNames":[{"familyName":"CHEN","familyNameLang":"en"}],"givenNames":[{"givenName":"Liang","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"42782","nameIdentifierScheme":"WEKO"}]},{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"10103","affiliationNameIdentifierScheme":"kakenhi"}],"affiliationNames":[{"affiliationName":"室蘭工業大学","affiliationNameLang":"ja"},{"affiliationName":"Muroran Institute of Technology","affiliationNameLang":"en"}]}],"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":[{"familyName":"TAKAHASHI","familyNameLang":"en"},{"familyName":"高橋","familyNameLang":"ja"},{"familyName":"タカハシ","familyNameLang":"ja-Kana"}],"givenNames":[{"givenName":" Masatomo","givenNameLang":"en"},{"givenName":"雅朋","givenNameLang":"ja"},{"givenName":"マサトモ","givenNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"21184","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"1000080431302","nameIdentifierScheme":"NRID","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000080431302"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-05-01"}],"displaytype":"detail","filename":"JMAA-437-1-133-159.pdf","filesize":[{"value":"615.2 kB"}],"format":"application/pdf","licensetype":"license_5","mimetype":"application/pdf","url":{"label":"JMAA-437-1-133-159.pdf","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/8625/files/JMAA-437-1-133-159.pdf"},"version_id":"52f58e99-df75-4b90-9dea-37ab1843c63d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Evolute","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Spacelike front","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Timelike front","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Hyperbolic 2-space","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"De Sitter 2-space","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":"Dualities and evolutes of fronts in hyperbolic and de Sitter space","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Dualities and evolutes of fronts in hyperbolic and de Sitter space","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","319"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2016-04-11"},"publish_date":"2016-04-11","publish_status":"0","recid":"8625","relation_version_is_last":true,"title":["Dualities and evolutes of fronts in hyperbolic and de Sitter space"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-01-30T08:02:33.276377+00:00"}