On the variational curves due to the ED-frame field in Euclidean 4-space
Turkish Journal of Mathematics, cilt.44, sa.4, ss.1442-1452, 2020 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 4
- Basım Tarihi: 2020
- Doi Numarası: 10.3906/mat-1906-52
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1442-1452
- Anahtar Kelimeler: Euclidean 4-space, ED-frame field, variational curve
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this study, we define a variational field for constructing a family of Frenet curves of the length l lying on a connected oriented hypersurface and calculate the length of the variational curves due to the ED-frame field in Euclidean 4-space. And then, we derive the intrinsic equations for the variational curves and also obtain boundary conditions for this type of curves due to the ED-frame field in Euclidean 4-space.