Geometry of Moving Spacelike Curves and their Evolution Equations in de Sitter 3-Space
In this paper, we study the geometry of moving spacelike curves in the three-dimensional de Sitter space \(S_{1}^{3}\). Then, the evolution equations of the pseudo-orthonormal frame and the curvatures for these curves are derived. Moreover, some conditions for an inelastic curve flow in \(S_{1}^{3}\) are presented. Finally, interesting illustrative examples of the obtained results are given and plotted.
Authors
- I. K. Youssef (ORCID: https://orcid.org/0000-0002-9935-0865)
- M. Khalifa Saad (ORCID: https://orcid.org/0000-0002-8516-4041)
- H. S. Abdel-Aziz
Publication Details
- Journal
- International Journal of Analysis and Applications
- Published
- 2025-05-26
- DOI
- https://doi.org/10.28924/2291-8639-23-2025-130
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00