A Different View on Dynamics of Space Curves Geometry
Journal of Nonlinear Mathematical Physics, cilt.29, sa.1, ss.73-94, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.1007/s44198-021-00023-8
- Dergi Adı: Journal of Nonlinear Mathematical Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
- Sayfa Sayıları: ss.73-94
- Anahtar Kelimeler: 53A04, 53A17, 53Z05, Dual curves, Equilibrium, Gyroscobic curves, Torque curves
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Uşak Üniversitesi Adresli: Evet
Özet
In this study, we define the X-torque curves, X- equilibrium curves, X-moment conservative curves, X- gyroscopic curves as new curves derived from a regular space curve by using the Frenet vectors of a space curve and its position vector, where X∈ { T(s) , N(s) , B(s) } and we examine these curves and we give their properties.