Research Article

Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3

Volume: 21 Number: 2 June 27, 2025
EN

Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3

Abstract

In this study, we obtain differential equations of spacelike curves according to components of light-cone frame in light cone L_0^3 in Minkowski 5-space. We find some relations between curvatures of the spacelike curves.

Keywords

References

  1. [1]. B. Sahin, On a Submersion Between Reinhart Lightlike Manifolds and Semi-Riemannian Manifolds, Mediterr. J. Math. 5(2008), 273–284.
  2. [2]. F. J. Palomo, F. J. Rodrguez, A. Romero, New characterizations of compact Totally umbilical spacelike surfaces in 4-Dimensional Lorentz Minkowski spacetime through a lightcone, Mediterr. J. Math.11(2014), 1229–1240.
  3. [3]. G. Ganchev, V. Milousheva, An invariant theory of spacelike surfaces in the four-dimensional Minkowski space, Mediterr. J. Math.9(2012), 267–294.
  4. [4]. H. Liu, J. Miao, D. Pei, Curves and surfaces of spacelike curves according to Bishop frame and their singularities, J. Nonlinear Sci. Appl., 9, 5020–5037 (2017).
  5. [5]. K. L. Duggal, B. Sahin, Differential Geometry of Lightlike Submanifolds, Birkh¨auser, Boston, 2010.
  6. [6]. M. Kazaz, H.H. Uğurlu, A. Özdemir, Integral Characterizations for Timelike and Spacelike Curves on Lorentzian Sphere , Iranian Journal of Science and Technology, Transaction A, Vol. 32, No. A1, 2008
  7. [7]. M. Önder, T. Kahraman, H.H. Uğurlu, Differential Equations and Integral Characterizations of Timelike and Spacelike Spherical Curves in the Minkowski Space-time Matematychni Studii, V.40, No.1, 2013, pp. 30-37.
  8. [8]. M. Sezer, Differential Equations and Integral Characterizations for Spherical Curves, Turkish J. Math., Vol. 13, No. 3, 1989.

Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Publication Date

June 27, 2025

Submission Date

August 26, 2024

Acceptance Date

December 3, 2024

Published in Issue

Year 2025 Volume: 21 Number: 2

APA
Kahraman, T. (2025). Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3. Celal Bayar University Journal of Science, 21(2), 24-27. https://doi.org/10.18466/cbayarfbe.1538669
AMA
1.Kahraman T. Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3. CBUJOS. 2025;21(2):24-27. doi:10.18466/cbayarfbe.1538669
Chicago
Kahraman, Tanju. 2025. “Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3”. Celal Bayar University Journal of Science 21 (2): 24-27. https://doi.org/10.18466/cbayarfbe.1538669.
EndNote
Kahraman T (June 1, 2025) Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3. Celal Bayar University Journal of Science 21 2 24–27.
IEEE
[1]T. Kahraman, “Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3”, CBUJOS, vol. 21, no. 2, pp. 24–27, June 2025, doi: 10.18466/cbayarfbe.1538669.
ISNAD
Kahraman, Tanju. “Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3”. Celal Bayar University Journal of Science 21/2 (June 1, 2025): 24-27. https://doi.org/10.18466/cbayarfbe.1538669.
JAMA
1.Kahraman T. Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3. CBUJOS. 2025;21:24–27.
MLA
Kahraman, Tanju. “Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3”. Celal Bayar University Journal of Science, vol. 21, no. 2, June 2025, pp. 24-27, doi:10.18466/cbayarfbe.1538669.
Vancouver
1.Tanju Kahraman. Differential Equations for Spacelike Curves According to Light-Cone Frame in L_0^3. CBUJOS. 2025 Jun. 1;21(2):24-7. doi:10.18466/cbayarfbe.1538669