On Characterizations of Some Special Curves of Timelike Curves According to the Bishop Frame of Type-2 in Minkowski 3-Space

Yilmaz S., Unluturk Y., MAĞDEN A.

International Conference on Advances in Natural and Applied Sciences (ICANAS), Antalya, Türkiye, 21 - 23 Nisan 2016, cilt.1726 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1726
  • Doi Numarası: 10.1063/1.4945908
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Atatürk 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 Omega 1/2 of their vector field Omega 1/2. 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 E-1(3) and express such curves in terms of their curvature functions.