On Darboux helices in Minkowski space

Şenol A., Ziplar E., YAYLI Y.

1st International Conference on Analysis and Applied Mathematics, ICAAM 2012, Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.53-56 identifier

  • 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.