Araştırma Makalesi

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

Cilt: 21 Sayı: 2 27 Haziran 2025
PDF İndir
EN

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

Öz

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.

Anahtar Kelimeler

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebirsel ve Diferansiyel Geometri

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

27 Haziran 2025

Gönderilme Tarihi

26 Ağustos 2024

Kabul Tarihi

3 Aralık 2024

Yayımlandığı Sayı

Yıl 2025 Cilt: 21 Sayı: 2

Kaynak Göster

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. Celal Bayar University Journal of Science. 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 (01 Haziran 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”, Celal Bayar University Journal of Science, c. 21, sy 2, ss. 24–27, Haz. 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 (01 Haziran 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. Celal Bayar University Journal of Science. 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, c. 21, sy 2, Haziran 2025, ss. 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. Celal Bayar University Journal of Science. 01 Haziran 2025;21(2):24-7. doi:10.18466/cbayarfbe.1538669