Research Article

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

Volume: 4 Number: 1 April 15, 2016
EN

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

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. [1] https://en.wikipedia.org/wiki/Frenet%E2%80%93Serret_formulas.
  2. [2] J. Walrave, Curves and surfaces in Minkowski space, Doctoral thesis, K. U.Leuven, Faculty of Science, Leuven (1995)
  3. [3] K. Ilarslan, Spacelike Normal Curves in Minkowski Space E_1^3,Turk J Math 29 (2005) , 53-63.
  4. [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. [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. [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. [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. [8] T. Sasai, The Fundamental Theorem of Analytic Space Curves And Apparent Singularities of Fuchsian Differential Equations,Tohoku Math. Journ., 36 (1984),17-24.
APA
Bükcü, B., & Karacan, M. K. (2016). On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space. Mathematical Sciences and Applications E-Notes, 4(1), 184-188. https://doi.org/10.36753/mathenot.421429
AMA
1.Bükcü B, Karacan MK. On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space. Math. Sci. Appl. E-Notes. 2016;4(1):184-188. doi:10.36753/mathenot.421429
Chicago
Bükcü, Bahaddin, and Murat Kemal Karacan. 2016. “On The Modified Orthogonal Frame With Curvature and Torsion in 3-Space”. Mathematical Sciences and Applications E-Notes 4 (1): 184-88. https://doi.org/10.36753/mathenot.421429.
EndNote
Bükcü B, Karacan MK (April 1, 2016) On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space. Mathematical Sciences and Applications E-Notes 4 1 184–188.
IEEE
[1]B. Bükcü and M. K. Karacan, “On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space”, Math. Sci. Appl. E-Notes, vol. 4, no. 1, pp. 184–188, Apr. 2016, doi: 10.36753/mathenot.421429.
ISNAD
Bükcü, Bahaddin - Karacan, Murat Kemal. “On The Modified Orthogonal Frame With Curvature and Torsion in 3-Space”. Mathematical Sciences and Applications E-Notes 4/1 (April 1, 2016): 184-188. https://doi.org/10.36753/mathenot.421429.
JAMA
1.Bükcü B, Karacan MK. On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space. Math. Sci. Appl. E-Notes. 2016;4:184–188.
MLA
Bükcü, Bahaddin, and Murat Kemal Karacan. “On The Modified Orthogonal Frame With Curvature and Torsion in 3-Space”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 1, Apr. 2016, pp. 184-8, doi:10.36753/mathenot.421429.
Vancouver
1.Bahaddin Bükcü, Murat Kemal Karacan. On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space. Math. Sci. Appl. E-Notes. 2016 Apr. 1;4(1):184-8. doi:10.36753/mathenot.421429

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