Some characterizations of a timelike curve in R_1^3

Yıl 2016, Cilt: 4 Sayı: 3, 270 - 276, 30.09.2016

Muslum Aykut Akgun Ali İhsan Sivridag

Öz

In this paper, we study the position vectors of a
timelike curve in the Minkowski 3-space . We give some characterizations for timelike curves which lie on some
subspaces of .

Anahtar Kelimeler

Timelike curve, Minkowski space

Kaynakça

• A.C. Coken, and U. Ciftci, On the Cartan Curvatures of a Null Curve in Minkowski Spacetime, Geometriae Dedicate 114 (2005), 71-78.
• A. Fernandez, A. Gimenez, and P. Lucas, Null helices in Lorentzian space forms, Int. J. Mod. Phys. A. 16 (2001), 4845-4863.
• A. T. Ali, M. Onder, Some Characterizations of Rectifying Spacelike Curves in the Minkowski Space-Time, Global J of Sciences Frontier Research Math, Vol 12, Is 1, 2012 2249-4626
• C. Camci, K. Ilarslan, L. Kula, H.H. Hacisalihoglu, Harmonic Curvatures and Generalized Helices in E^n, Chaos,Solitions and Fractals 40 (2009), 2590-2596.
• H.H. Ugurlu, On The Geometry of Timelike Surfaces , Communication, Ankara University, Faculty of Sciences, Dept.of Math., Series Al, Vol.46, pp. 211-223 (1997).
• K. Ilarslan, and O. Boyacioglu, Position vectors of a timelike and a null helix in Minkowski 3-space, Chaos,Solitions and Fractals (2008), 1383-1389.
• K. Ilarslan, Spacelike Normal Curves in Minkowski E_1^3, Turk. J. Math 29(2005), 53-63.
• K. Ilarslan, E. Nesovic, M. Petrovic-Torgasev, Some Characterizations of Rectifying Curves in Minkowski 3-space, Novi Sad J Math 2003, 33(2), 23-32.
• K. Ilarslan, E. Nesovic, Spacelike and timelike normal curves, Publications de l’Institut Mathématique (Beograd) Nouvelle serie, tome 85(99) (2009) 111-118.
• K. Ilarslan, E. Nesovic, Some characterizations of rectifying curves in the Euclidean space E^4., Turkish J. Math. 32 (2008), no. 1, 21-30.
• K. Ilarslan, and E. Nesovic, Some characterizations of null osculating curves in the Minkowski space-time, Proceedings of the Estonian Academy of Sciences, 61, I (2012), 1-8.
• K.L. Duggal, and D.H. Jin, Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, Copyriht C 2007 by World Scientific Publishing Co. Pte. Ltd., (2007), Page 83.
• M. Onder, H. Kocayigit and M. Kazaz, Spacelike Helices in Minkowski 4-space, Ann. Univ. Ferrera 2010, 56, 335-343.
• M. A. Akgun, A. I. Sivridag, On The Null Cartan Curves of R_1^4, Global Journal of Mathematics, Vol.1 No.1,2015,41-50.
• M. A. Akgun, A. I. Sivridag, On The Characterizations of Timelike Curves in R_1^4, Global Journal of Mathematics, Vol.2 No.2,2015,116-127.
• M. A. Akgun, A. I. Sivridag, Some Characterizations of a Spacelike Curve in R_1^4, Pure Mathematical Sciences, Hikari Ltd., Vol.4 No.1-4,2015,43-55.
• S. Keles, S. Y. Perktas and E. Kilic, Biharmonic Curves in LP-Sasakian Manifolds, Bulletin of the Malasyian Mathematical Society, (2) 33(2), 2010, 325-344.