On ruled non-degenerate surfaces with darboux frame in minkowski 3-space


Şentürk G. Y., YÜCE S.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.10, no.2, pp.499-511, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 2
  • Publication Date: 2020
  • Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.499-511
  • Keywords: Darboux frame, Integral invariants, Lorentz 3-space, Ruled surface
  • Istanbul Gelisim University Affiliated: Yes

Abstract

© Isik University, Department of Mathematics, 2020.In this paper, ruled non-degenerate surfaces with respect to Darboux frame are studied. Characterization of them which are related to the geodesic torsion, the normal curvature and the geodesic curvature with respect to Darboux frame are examined. Furthermore, some special cases of non-null rulings are demonstrated according to Frenet frame $T, N, B$ with Darboux frame $T, g, n$. Finally, the integral invariants of these surfaces are examined.