Makale detayı · 2022
On the classification of framed rectifying curves in Euclidean space
Mathematical Methods in the Applied Sciences
- Yıl
- 2022
- ISSN
0170-4214- DOI
- 10.1002/mma.7561
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
There are many studies on regular rectifying curves in classical differential geometry, and important results have been obtained. However, these studies are limited for a smooth curve with singular points. To examine such curves and surfaces, the concept of framed curve, which is the general form of regular and Legendre curves, is used. Framed curves are defined as curves that have a moving frame with singular points in Euclidean space. We investigate framed rectifying curves via the dilation of framed curves on S2 in . Moreover, the result of dilation of framed curves is the framed rectifying curve or not. We give some classifications for the dilation of framed curves. Finally, we give some related examples with their figures.
Konular
- Advanced Numerical Analysis Techniques
- Mathematics and Applications
- Geometric Analysis and Curvature Flows
Birincil konu Advanced Numerical Analysis Techniques