{"created":"2023-06-19T11:44:15.667095+00:00","id":14122,"links":{},"metadata":{"_buckets":{"deposit":"07c2ec3d-9de3-46f5-9461-f5aa29a07741"},"_deposit":{"created_by":13,"id":"14122","owners":[13],"pid":{"revision_id":0,"type":"depid","value":"14122"},"status":"published"},"_oai":{"id":"oai:mie-u.repo.nii.ac.jp:00014122","sets":["143:144:274:1286"]},"author_link":["46159","46160","46161","46162"],"item_4_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-02-26","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"16","bibliographicPageStart":"1","bibliographicVolumeNumber":"72","bibliographic_titles":[{"bibliographic_title":"三重大学教育学部研究紀要　自然科学・人文科学・社会科学・教育科学・教育実践"},{"bibliographic_title":"Bulletin of the Faculty of Education, Mie University. Natural Science, Humanities, Social Science, Education, Educational Practice","bibliographic_titleLang":"en"}]}]},"item_4_description_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"滑らかな閉曲面においてはオイラー標数と全曲率の関係として「Gauss-Bonnet の定理」が成立し、微分幾何学と位相幾何学とを橋渡ししているが、特異点を含むような一般の場合には成立しない．本論文では特異点をもつ閉曲面の全曲率について、トーラス型、リンゴ型の２つの場合について計算し、Gauss-Bonnet の定理が成り立たない例を与えている．１章では準備として曲線、曲面、曲率などについて定義し、本論文に関係する定理を書いている．２章では回転面のうち、特異点が線状になって現れるトーラス型曲面と、特異点が１点もしくは２点で現れるリンゴ型曲面を考え、それらの回転面の全曲率の計算に対する定理を与えた後、いくつかの例を挙げている．３章ではトーラス型の場合の一般化を行い、閉曲線を複素数を用いて表示することにより、特異点を与える方向と全曲率との関係を示した．そして４章ではリンゴ型曲面について一般化し、全曲が表す図形的な意味についてまとめている．","subitem_description_type":"Abstract"},{"subitem_description":"We calculate total curvatures of rotating surfaces with singularities,called torus-type and apple-type.","subitem_description_type":"Abstract"}]},"item_4_publisher_30":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"三重大学教育学部"}]},"item_4_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1880-2419","subitem_source_identifier_type":"PISSN"}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA12097333","subitem_source_identifier_type":"NCID"}]},"item_4_text_31":{"attribute_name":"出版者（ヨミ）","attribute_value_mlt":[{"subitem_text_value":"ミエダイガクキョウイクガクブ"}]},"item_4_text_65":{"attribute_name":"資源タイプ（三重大）","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper / 紀要論文"}]},"item_4_version_type_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"松田, 雄斗","creatorNameLang":"ja"},{"creatorName":"マツダ, ユウト","creatorNameLang":"ja-Kana"},{"creatorName":"Matsuda, Yuto","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"森谷, 浩司","creatorNameLang":"ja"},{"creatorName":"モリタニ, コウジ","creatorNameLang":"ja-Kana"},{"creatorName":"Moritani, Koji","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"中西, 舞","creatorNameLang":"ja"},{"creatorName":"ナカニシ, マイ","creatorNameLang":"ja-Kana"},{"creatorName":"Nakanishi, Mai","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"新田, 貴士","creatorNameLang":"ja"},{"creatorName":"ニッタ, タカシ","creatorNameLang":"ja-Kana"},{"creatorName":"Nitta, Takashi","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":"2021-09-06"}],"displaytype":"detail","filename":"2021BS0005.pdf","filesize":[{"value":"782.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"2021BS0005.pdf","url":"https://mie-u.repo.nii.ac.jp/record/14122/files/2021BS0005.pdf"},"version_id":"a2544ee2-54cb-4562-bfc4-573e63da72b7"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"特異点をもつ回転面の全曲率について","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"特異点をもつ回転面の全曲率について","subitem_title_language":"ja"},{"subitem_title":"Total curvatures of rotating surfaces with singularities","subitem_title_language":"en"}]},"item_type_id":"4","owner":"13","path":["1286"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2021-09-06"},"publish_date":"2021-09-06","publish_status":"0","recid":"14122","relation_version_is_last":true,"title":["特異点をもつ回転面の全曲率について"],"weko_creator_id":"13","weko_shared_id":-1},"updated":"2023-11-10T00:44:32.227525+00:00"}