Characterizations of dual curves and dual focal curves in dual Lorentzian space D-1(3)

Gilani S. M., Abazari N., YAYLI Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.5, ss.1561-1577, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1909-6
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1561-1577
  • Anahtar Kelimeler: Bishop frame, Darboux vector, dual Lorentzian space D-1(3), focal curve, FRAME
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we have introduced dual Lorentzian connection, bracket and curvature tensor on dual Lorentzian space D-1(3). We have studied a dual curve in different situations in dual Lorentzian space D-1(3) and have found Bishop Darboux vector and some relations according to this vector field, Bishop frame and focal curve of the present dual curve. It has been shown that Bishop Darboux vector has a similar amount in three different cases of a dual curve and the first dual focal curvature of the aforementioned curve is constant function.