N-bishop darboux vector of the spacelike curve with spacelike binormal

Kusak Samanci H., KOCAYİĞİT H.

Thermal Science, cilt.23, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/tsci181112048k
  • Dergi Adı: Thermal Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: N-Bishop Darboux frame, N-Bishop frame, Spacelike curve
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this article, the N-Bishop frame in Minkowski space is investigated for spacelike curves with a spacelike binormial. Some features of the normal expansion are proven via for the spacelike curve. Then, a new Darboux frame called by the N-Bishop Darboux frame is introduced at first time. Furthermore, some geometrical properties of the N-Bishop Darboux frame are proven. As a result, the N-Bishop Darboux axis and momentum rotation vector are calculated.