Research Article
BibTex RIS Cite

Year 2016, Volume: 4 Issue: 1, 184 - 188, 15.04.2016
https://doi.org/10.36753/mathenot.421429
https://izlik.org/JA23SB55UB

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
https://izlik.org/JA23SB55UB

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
DOI https://doi.org/10.36753/mathenot.421429
IZ https://izlik.org/JA23SB55UB
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

Cited By














Modeling of Looping Behavior in a Flexible Instrument Using a Bézier Curve
Journal of Engineering and Science in Medical Diagnostics and Therapy
https://doi.org/10.1115/1.4051345

















INDEXING & ABSTRACTING & ARCHIVING

34771           




20477   The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.