Investigating Curves Along Frenet Normal Vectors in Euclidean 4-Space
Journal of New Theory, sa.54, ss.12-28, 2026 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: Sayı: 54
- Basım Tarihi: 2026
- Doi Numarası: 10.53570/jnt.1833867
- Dergi Adı: Journal of New Theory
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.12-28
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
In this paper, we introduce principal normal-based, first binormal-based, and second binormal-based curves defined along the Frenet frame of a curve in four-dimensional Euclidean space. For each derived curve, we obtain the corresponding Frenet vectors and curvature functions and express them factoring in the original curve. Furthermore, we provide an illustrative example of each case to demonstrate the geometric characteristics and validate the derived formulations.