Differential representation of the Lorentzian spherical timelike curves by using bishop frame

BALKI OKULLU P., KOCAYİĞİT H.

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

  • Publication Type: Article / Article
  • Volume: 23
  • Publication Date: 2019
  • Doi Number: 10.2298/tsci190724368b
  • Journal Name: Thermal Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Bishop frame, Lorentzian sphere, Spherical curve, Timelike curve
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, we will give the differential representation of the Lorentzian spherical timelike curves according to Bishop frame and we obtain a third-order linear differential equation which represents the position vector of a timelike curve lying on a Lorentzian sphere.