The Characterizations of the Curves in a 3-Dimensional Lightlike Cone

Authors

  • Mehmet BEKTAS Department of Mathematics, Firat University, Elaziğ 23119
  • Mihriban KULAHCI Department of Mathematics, Firat University, Elazığ 23119
  • Münevver YILDIRIM YILMAZ Department of Mathematics, Firat University, Elaziğ 23119

Keywords:

Null cone, m-curvature functions, frenet frame, curvature, curve

Abstract

In this paper, m-curvature functions are defined for curves in a 3-dimensional null cone. Furthermore, a new characterization is given for the curvature functions.

doi:10.14456/WJST.2015.60

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Author Biography

Mihriban KULAHCI, Department of Mathematics, Firat University, Elazığ 23119

Department of Mathematics

References

KL Duggal and A Gimenez. Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen. J. Geom. Phys. 2005; 55, 107-22.

H Liu and SD Jung. Hypersurfaces in lightlike cone. J. Geom. Phys. 2008; 58, 913-22.

Cosmology I and II, Available at: http//theory.physics.helsinki.fi/~cosmology, accessed July 2014.

AT Ali and M Önder. Some characterization of spacelike curves rectifiying curves in the Minkowski space-time. Global J. Sci. Frontier Res. Math. Decis. Sci. 2012; 12, 57-63.

M Bektaş, M Ergüt and D Soylu. The characterization of spherical timelike curves in 3-dimensional Lorentzian space. Bull. Malays. Math. Soc. 1998; 21, 117-25.

AC Çöken and Ü Çiftçi. On the Cartan curvatures of a null curve in Minkowski spacetime. Geometriae Dedicata 2005; 114, 71-8.

K İlarslan and E Nesovic. Timelike and null principal normal curves in Minkowski space. Indian J. Pure Appl. Math. 2004; 35, 881-8.

K İlarslan and E Nesovic. Some characterizations null, Pseudo null and Partially null rectifying curves in Minkowski space time. Taiwanese J. Math. 2008; 12, 1035-44.

M Külahcı, M Bektaş and M Ergüt. On harmonic curvatures of a Frenet curve in Lorentzian space. Chaos Soliton. Fract. 2009; 41, 1668-75.

H Öztekin and M Ergüt. Null Manheim curves in the Minkowski 3 Space E_1^3. Turk. J. Math. 2010; 34, 1-8.

J Sun and D Rei. Null Cartan Bertrand curves of AW(k)-type in Minkowski 4-space. Phys. Lett. A 2012; 376, 2230-3.

M Turgut and S Yılmaz. On the Frenet frame and a characterization of Spacelike İnvolute-Evolute curve couple Minkowski space time. Int. Math. Forum. 2008; 3, 793-801.

W Zhiang, P Donghe, C Liang, K Lingling and H Qixing. Singularities of focal surfaces of null Cartan curves in Minkowski 3-space. Abstr. Appl. Anal. 2012; 2012, 823809.

M Külahcı, M Bektaş and M Ergüt. Curves of AW(k)-type in 3-dimensional null cone. Phys. Lett. A 2007; 371, 275-7.

H Liu. Curves in the Lightlike cone. Contrib. Algebra Geom. 2004; 45, 291-303.

H Liu and Q Meng. Representation formulas of curves in a two and three dimensional lightlike cone. Result Math. 2011; 59, 437-51.

Downloads

Published

2014-12-11

How to Cite

BEKTAS, M., KULAHCI, M., & YILDIRIM YILMAZ, M. (2014). The Characterizations of the Curves in a 3-Dimensional Lightlike Cone. Walailak Journal of Science and Technology (WJST), 12(11), 1055–1062. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/1120