Conference Paper

An Approximation for Null Cartan Helices in Lorentzian 3-Space

Volume: 11 December 30, 2019
EN

An Approximation for Null Cartan Helices in Lorentzian 3-Space

Abstract

In the present paper, we give an approach for null Cartan helices by using the null Cartan magnetic trajectories related to the Killing magnetic vector field.  Additionally, we determine the Bishop curvatures and the explicit parametric equation of these curves by using Bishop curvatures. Finally, we give various examples and draw their images.

Keywords

References

  1. Barros, M., Cabrerizo, J.L., Fern\'{a}ndez, M., Romero, A., \emph{Magnetic vortex filament flows.} J. Math. Phys. \textbf{48}(2007), 1--27.
  2. Barros, M., Ferr\'{a}ndez, A., Lucas, P., Merono, M.A., \emph{General helices in the 3-dimensional Lorentzian space forms.} Rocky. Mt. J. Math. \textbf{31}(2001), 373--388.
  3. Bishop, L.R., \emph{There is more than one way to frame a curve.} Amer. Math. Monthly. \textbf{82 (3)}(1975), 246--251.
  4. Bozkurt, Z., G\"{o}k, \.{I}., Yayl\i, Y., Ekmekci, F.N., \emph{A new approach for magnetic curves in 3D Riemannian manifolds.} J. Math. Physics. \textbf{55}(2014), 053501.
  5. Druta-Romaniuc, S.L., Munteanu, M.I., \emph{Killing magnetic curves in a Minkowski 3-space.} Nonlinear Anal. Real World Appl. \textbf{14}(2013), 383--396.
  6. Duggal, K.L., Jin, D.H., Null Curves and Hypersurfaces of Semi-Riemannian Manifolds. World Scientific, Singapore, 2007.
  7. Ferr\'{a}ndez, A., Gim\'{e}nez, A. \& Lucas, P., \emph{Geometrical particles models on 3D null curves.} Physics Letters B, \textbf{543(3--4)}(2002), 311--317.
  8. Ferr\'{a}ndez, A., Gim\'{e}nez, A., Lucas, P., \emph{Relativistic particles and the geometry of 4D null curves.} J. Geom. Phys.\textbf{ 57(10)}(2007), 2124--2135 .

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Conference Paper

Publication Date

December 30, 2019

Submission Date

August 2, 2019

Acceptance Date

December 25, 2019

Published in Issue

Year 2019 Volume: 11

APA
Ozdemir, Z. (2019). An Approximation for Null Cartan Helices in Lorentzian 3-Space. Turkish Journal of Mathematics and Computer Science, 11, 21-30. https://izlik.org/JA97WP37YS
AMA
1.Ozdemir Z. An Approximation for Null Cartan Helices in Lorentzian 3-Space. TJMCS. 2019;11:21-30. https://izlik.org/JA97WP37YS
Chicago
Ozdemir, Zehra. 2019. “An Approximation for Null Cartan Helices in Lorentzian 3-Space”. Turkish Journal of Mathematics and Computer Science 11 (December): 21-30. https://izlik.org/JA97WP37YS.
EndNote
Ozdemir Z (December 1, 2019) An Approximation for Null Cartan Helices in Lorentzian 3-Space. Turkish Journal of Mathematics and Computer Science 11 21–30.
IEEE
[1]Z. Ozdemir, “An Approximation for Null Cartan Helices in Lorentzian 3-Space”, TJMCS, vol. 11, pp. 21–30, Dec. 2019, [Online]. Available: https://izlik.org/JA97WP37YS
ISNAD
Ozdemir, Zehra. “An Approximation for Null Cartan Helices in Lorentzian 3-Space”. Turkish Journal of Mathematics and Computer Science 11 (December 1, 2019): 21-30. https://izlik.org/JA97WP37YS.
JAMA
1.Ozdemir Z. An Approximation for Null Cartan Helices in Lorentzian 3-Space. TJMCS. 2019;11:21–30.
MLA
Ozdemir, Zehra. “An Approximation for Null Cartan Helices in Lorentzian 3-Space”. Turkish Journal of Mathematics and Computer Science, vol. 11, Dec. 2019, pp. 21-30, https://izlik.org/JA97WP37YS.
Vancouver
1.Zehra Ozdemir. An Approximation for Null Cartan Helices in Lorentzian 3-Space. TJMCS [Internet]. 2019 Dec. 1;11:21-30. Available from: https://izlik.org/JA97WP37YS