On Darboux helices in Minkowski space
1st International Conference on Analysis and Applied Mathematics, ICAAM 2012, Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.53-56, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1470
- Doi Numarası: 10.1063/1.4747637
- Basıldığı Şehir: Gümüşhane
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.53-56
- Anahtar Kelimeler: curves of constant precession, Darboux vector, Frenet equations, Helices, Minkowski 3-space, Slant helices
- Ankara Üniversitesi Adresli: Evet
Özet
In the present study, we give the conditions for a curve in the Minkowski space to be a Darboux helix. We show that α is a Darboux helix if there exists a fixed direction d in ℝ13 such that the function 〈W(s),d〉 is constant. We give the relation between slant helice and Darboux helice. As a particular case, if we take ∥w∥ =constant, the curves are constant precession. Some more particular cases of constant precession curves are studied. © 2012 American Institute of Physics.