On characterizations of some special curves of timelike curves according to the Bishop frame of type-2 in Minkowski 3-space
International Conference on Advances in Natural and Applied Sciences, ICANAS 2016, Antalya, Türkiye, 21 - 23 Nisan 2016, cilt.1726, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1726
- Doi Numarası: 10.1063/1.4945908
- Basıldığı Şehir: Antalya
- Basıldığı Ülke: Türkiye
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, first we give a characterization of timelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of timelike curves according to the type-2 Bishop frame in Minkowski 3-space as their position vectors always lie in the orthogonal complement Ω2 of their vector field Ω1/2. Moreover we characterize Bertrand curves in the same space via the new frame. In particular, we study Mannheim partner curves according to type-2 Bishop frame in E13 and express such curves in terms of their curvature functions.