Constant Curvature Ratios in L-6

İYİGÜN E.

FILOMAT, vol.30, no.3, pp.785-789, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1603785i
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.785-789
  • Keywords: Lorentz-Minkowski space, Frenet curvatures, constant curvature ratios, harmonic curvatures
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we find a relation between Frenet formulas and harmonic curvatures, and also a relation between Frenet formulas and e-curvature functions of a curve of osculating order 6 in 6 dimensional Lorentzian space L-6. Moreover, we give a relation between harmonic curvatures and ccr-curves of a curve in L-6.