On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space

Year 2016, , 184 - 188, 15.04.2016

Bahaddin Bükcü , Murat Kemal Karacan

https://doi.org/10.36753/mathenot.421429

Cited By: 22

Abstract

In this paper, we study the modified orthogonal vector fields with curvature and torsion of a space curve
in Minkowski 3-Space.

Keywords

Frenet-Serret Frame, Orthogonal Frame, Modified Orthogonal Frame, Minkowski 3-Space

References

• [1] https://en.wikipedia.org/wiki/Frenet%E2%80%93Serret_formulas.
• [2] J. Walrave, Curves and surfaces in Minkowski space, Doctoral thesis, K. U.Leuven, Faculty of Science, Leuven (1995)
• [3] K. Ilarslan, Spacelike Normal Curves in Minkowski Space E_1^3,Turk J Math 29 (2005) , 53-63.
• [4] M. Grbovic, K.Ilarslan,E.Nesovic,On null and pseudo null Mannheim curves in Minkowski 3-space, J. Geom. 105 (2014), 177–183.
• [5] M. K. Karacan,Y.Yayli,On the Geodesics of Tubular Surfaces in Minkowski 3-Space,Bull. Malays. Math. Sci. Soc. (2) 31 (1) (2008), 1–10.
• [6] M. Petrovic-Torgasev,E. Sucurovic, Some characterizations of Lorentzian spherical pacelike curves with the timelike and null principal normal, Mathematica Moravica 4 (2000), 83-92.
• [7] M. Petrovic-Torgasev, E. Sucurovic, Some characterizations of curves lying on the pseudohyperbolic space H_0^2 in the Minkowski space E31, Kragujevac J. Math., 22 (2000),71-82.
• [8] T. Sasai, The Fundamental Theorem of Analytic Space Curves And Apparent Singularities of Fuchsian Differential Equations,Tohoku Math. Journ., 36 (1984),17-24.