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測地線・曲率テンソルとSageMath
https://osu.repo.nii.ac.jp/records/2458
https://osu.repo.nii.ac.jp/records/245840ea2cf6-e9d3-4bc8-9883-f42b7467eaf1
名前 / ファイル | ライセンス | アクション |
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093_109_伊藤先生 (12.1 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2022-09-30 | |||||
タイトル | ||||||
タイトル | 測地線・曲率テンソルとSageMath | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Understanding Geodesics and Curvature Tensor using SageMath | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Riemannian Geometry | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Differential Geometry | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Geodesics | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Cur vature Tensor | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Computer Algebra System | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
伊藤, 誠
× 伊藤, 誠× ITOH, Makoto |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 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. | |||||
書誌情報 |
大阪産業大学経済論集 en : OSAKA SANGYO UNIVERSITY JOURNAL OF ECONOMICS 巻 23, 号 2, p. 1-17, 発行日 2022-03-31 |
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出版者 | ||||||
出版者 | 大阪産業大学学会 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1345-1448 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11394639 |