@article{oai:osu.repo.nii.ac.jp:00002458, author = {伊藤, 誠 and ITOH, Makoto}, issue = {2}, journal = {大阪産業大学経済論集, OSAKA SANGYO UNIVERSITY JOURNAL OF ECONOMICS}, month = {Mar}, note = {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.}, pages = {1--17}, title = {測地線・曲率テンソルとSageMath}, volume = {23}, year = {2022}, yomi = {イトウ, マコト} }