Makale detayı · 2021
Characterizations of Framed Curves in Four-Dimensional Euclidean Space
Universal Journal of Mathematics and Applications
- Yıl
- 2021
- ISSN
2619-9653- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
Framed curves in Euclidean space are used to investigate singular curves and are important for singularity theory. In this study, framed curves in four-dimensional Euclidean space are introduced and new results are obtained. The relation of framed curves with Frenet curves in four-dimensional Euclidean space is given and Bishop-type frame of framed curves is introduced with the help of Euler angles. In addition, by using Bishop-type framed curves in four-dimensional Euclidean space, framed rectifying curves, framed osculating curves and framed normal curves are introduced. Also, some characterizations depending on framed curvatures are obtained.
Konular
- Geometric Analysis and Curvature Flows
- Advanced Differential Geometry Research
- Point processes and geometric inequalities
Birincil konu Geometric Analysis and Curvature Flows