{"created":"2023-06-20T13:03:52.289323+00:00","id":2458,"links":{},"metadata":{"_buckets":{"deposit":"5c259e50-b7bd-4953-b769-28cdd815454f"},"_deposit":{"created_by":10,"id":"2458","owners":[10],"pid":{"revision_id":0,"type":"depid","value":"2458"},"status":"published"},"_oai":{"id":"oai:osu.repo.nii.ac.jp:00002458","sets":["19","19:527","19:527:530"]},"author_link":["3545","3544"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-03-31","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"17","bibliographicPageStart":"1","bibliographicVolumeNumber":"23","bibliographic_titles":[{"bibliographic_title":"大阪産業大学経済論集"},{"bibliographic_title":"OSAKA SANGYO UNIVERSITY JOURNAL OF ECONOMICS","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"　The curvature tensor of 4-dimensional spacetime, which appears in general relativity, is difficult to understand because it is a complex tensor with four subscripts. Since it is impossible to visualize geodesics and curvatures in 4-dimensional spacetime, we visualized geodesics and calculate curvature tensors of 2-dimensional surfaces, which corresponds to a 2-dimensional Riemann plane in 3-dimensional Euclidean space in order to understand the meanings of geodesics and curvature tensors. For the visualization and the calculation, we used SageMath, which is a free computer algebra system software. We found that the visualization of these geodesics and the calculation of curvatures on a 2-dimensional surface in 3-dimensional Euclidean space is useful for understanding their meanings. The usefulness of SageMath is also clarified.","subitem_description_type":"Abstract"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"大阪産業大学学会"}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11394639","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1345－1448","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"伊藤, 誠"},{"creatorName":"イトウ, マコト","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"ITOH, Makoto","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":"2022-09-30"}],"displaytype":"detail","filename":"093_109_伊藤先生.pdf","filesize":[{"value":"12.1 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"093_109_伊藤先生","url":"https://osu.repo.nii.ac.jp/record/2458/files/093_109_伊藤先生.pdf"},"version_id":"aa68e55f-fa46-4d65-925a-640f2547c179"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Riemannian Geometry","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Differential Geometry","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Geodesics","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Cur­ vature Tensor","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Computer Algebra System","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"測地線・曲率テンソルとSageMath","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"測地線・曲率テンソルとSageMath"},{"subitem_title":"Understanding Geodesics and Curvature Tensor using SageMath","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"10","path":["19","527","530"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-09-30"},"publish_date":"2022-09-30","publish_status":"0","recid":"2458","relation_version_is_last":true,"title":["測地線・曲率テンソルとSageMath"],"weko_creator_id":"10","weko_shared_id":-1},"updated":"2023-10-24T01:35:24.983683+00:00"}