New characterizations of spacelike curves on timelike surfaces through the link of specific frames
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.8, sa.1, ss.330-340, 2018 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 8 Sayı: 1
- Basım Tarihi: 2018
- Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.330-340
- Anahtar Kelimeler: Darboux frame, Darboux vector, Spacelike curve, Type-2 Bishop frame
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this work, considering a regular spacelike curve on a smooth timelike surface in Minkowski 3-space, we investigate relations between the mentioned curve's Darboux and Bishop frames on the timelike surface. Next we obtain Darboux vector of the regular spacelike curve in terms of Bishop apparatus. Thereafter, translating the Darboux vector to the center of the unit sphere, we determine aforementioned spacelike curve. Moreover, we investigate this spherical image's Frenet-Serret and Bishop apparatus and illustrate our results with two examples.