{"created":"2023-06-19T10:29:45.100021+00:00","id":9752,"links":{},"metadata":{"_buckets":{"deposit":"1539a64a-6468-4383-a0cd-d22d99f5d042"},"_deposit":{"created_by":18,"id":"9752","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"9752"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00009752","sets":["216:319","46"]},"author_link":["21184","55388","55389"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-10-04","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"330","bibliographicPageStart":"313","bibliographicVolumeNumber":"78","bibliographic_titles":[{"bibliographic_title":"Advanced Studies in Pure 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":"We can use a moving frame, as in the case of regular plane curves in the Euclidean plane, in order to define the arc-length parameter and the Frenet formula for non-lightlike regular curves in the Lorentz-Minkowski plane. This leads naturally to a well defined evolute associated to non-lightlike regular curves without inflection points in the Lorentz-Minkowski plane. However, at a lightlike point the curve shifts between a spacelike and a timelike region and the evolute cannot be defined by using this moving frame. In this paper, we introduce an alternative frame, the lightcone frame, that will allow us to associate an evolute to regular curves without inflection points in the Lorentz-Minkowski plane. Moreover, under appropriate conditions, we shall also be able to obtain globally defined evolutes of regular curves with inflection points. We investigate here the geometric properties of the evolute at lightlike points and inflection points.","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":"10.2969/aspm/07810313","subitem_link_url":"https://doi.org/10.2969/aspm/07810313"}]},"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":"Mathematical Society of Japan","subitem_publisher_language":"en"}]},"item_79_relation_13":{"attribute_name":"ISBN","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"9784864970563","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":"10.2969/aspm/07810313","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright © 2018 Mathematical Society of Japan","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0920-1971","subitem_source_identifier_type":"PISSN"}]},"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":""}]}],"creatorNames":[{"creatorName":"Izumiya, Shuichi","creatorNameLang":"en"},{"creatorName":"泉屋, 周一","creatorNameLang":"ja"},{"creatorName":"イズミヤ, シュウイチ","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{}]},{"creatorAffiliations":[{"affiliationNameIdentifiers":[],"affiliationNames":[{"affiliationName":""}]}],"creatorNames":[{"creatorName":"Fuster, M. C. Romero","creatorNameLang":"en"}],"familyNames":[{}],"givenNames":[{}],"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":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-12-20"}],"displaytype":"detail","filename":"ASPM_78_313_330.pdf","filesize":[{"value":"199.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"ASPM_78_313_330","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/9752/files/ASPM_78_313_330.pdf"},"version_id":"60eb9ff8-6d4f-4c24-82fc-02b53184f2d8"}]},"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":"inflection point","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"lightcone frame","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Lagrangian singularity","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Legendrian 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":"Evolutes of curves in the Lorentz-Minkowski plane","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Evolutes of curves in the Lorentz-Minkowski plane","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","319"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-12-20"},"publish_date":"2018-12-20","publish_status":"0","recid":"9752","relation_version_is_last":true,"title":["Evolutes of curves in the Lorentz-Minkowski plane"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-02-05T04:00:04.377785+00:00"}