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Year 2016, Volume: 4 Issue: 1, 184 - 188, 15.04.2016
https://doi.org/10.36753/mathenot.421429

Abstract

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.

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

Year 2016, Volume: 4 Issue: 1, 184 - 188, 15.04.2016
https://doi.org/10.36753/mathenot.421429

Abstract

In this paper, we study the modified orthogonal vector fields with curvature and torsion of a space curve
in 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.
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Bahaddin Bükcü

Murat Kemal Karacan

Submission Date January 5, 2016
Publication Date April 15, 2016
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

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.Bükcü B, Karacan MK. On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space. Math. Sci. Appl. E-Notes [Internet]. 2016 Apr. 1;4(1):184-8. Available from: https://izlik.org/JA23SB55UB

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