Elsharkawy Ayman, Elsayied Hoda, Tawfiq Abdelrhman, Alghamdi Fatimah
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.
Department of Mathematics, Faculty of Education, Ain-Shams University, Cairo, Egypt.
PLoS One. 2025 Apr 30;20(4):e0320678. doi: 10.1371/journal.pone.0320678. eCollection 2025.
This study investigates the application of Robertson-Walker space in the analysis of slant curves. The study classifies all slant curves and calculates their curvature and torsion. The research shows that slant curves can be analyzed using Robertson-Walker space. The study also finds that doubly warped product manifolds have been more extensively studied than other types of manifolds, including warped product manifold and Minkowski space. These results contribute to our understanding of the use of mathematical structures in the analysis of slant curves and provide a foundation for future research.
本研究探讨罗伯逊 - 沃克空间在斜曲线分析中的应用。该研究对所有斜曲线进行分类，并计算它们的曲率和挠率。研究表明，可以使用罗伯逊 - 沃克空间来分析斜曲线。该研究还发现，双扭曲积流形比其他类型的流形，包括扭曲积流形和闵可夫斯基空间，得到了更广泛的研究。这些结果有助于我们理解数学结构在斜曲线分析中的应用，并为未来的研究奠定基础。
