Darboux Helices in Minkowski space R31

Şenol A., Ziplar E., YAYLI Y., Ghadami R.

Life Science Journal, cilt.9, sa.4, ss.5905-5910, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 4
  • Basım Tarihi: 2012
  • Dergi Adı: Life Science Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5905-5910
  • 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 R31 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.