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The notes on rotational surfaces in Galilean space
International Journal of Geometric Methods in Modern Physics ( IF 2.1 ) Pub Date : 2020-11-30 , DOI: 10.1142/s0219887821500171
Fatma Almaz 1 , Mi̇hri̇ban Alyamaç Külahcı 1
Affiliation  

In this study, we provide a brief description of rotational surfaces in 4-dimensional (4D) Galilean space using a curve and matrices in [Formula: see text]. That is, we provide different types of rotational matrices, which are the subgroups of [Formula: see text] by rotating a selected axis in [Formula: see text]. Hence, we choose two parameter matrices groups of rotations and we give the matrices of rotation corresponding to the appropriate subgroup in Galilean 4-space and we generate rotated surfaces.

中文翻译:

伽利略空间中旋转表面的注释

在这项研究中,我们使用 [公式:见正文] 中的曲线和矩阵对 4 维 (4D) 伽利略空间中的旋转表面进行了简要描述。也就是说,我们提供了不同类型的旋转矩阵,它们是[公式:见文本]的子组,通过旋转[公式:见文本]中的选定轴。因此,我们选择两个旋转参数矩阵组,并给出对应于伽利略 4 空间中适当子组的旋转矩阵,并生成旋转表面。
更新日期:2020-11-30
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