In this paper, we study the geometry of position vectors of a spacelike curve in the Minkowski 4-space. We give some characterizations for spacelike curves to lie on some subspaces of R4 1.
[1] A.C. Coken, and U. Ciftci, On the Cartan Curvatures of a Null Curve in Minkowski Space-
time, Geometriae Dedicate 114 (2005), 71-78.
[2] A. Fernandez, A. Gimenez, and P. Lucas, Null helices in Lorentzian space forms, Int. J. Mod.
Phys. A. 16 (2001), 4845-4863.
[3] 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
[4] C. Camci, K. Ilarslan, L. Kula, H.H. Hacisalihoglu, Harmonic Curvatures and Generalized
Helices in En, Chaos,Solitions and Fractals 40 (2009), 2590-2596.
[5] 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.
[6] K. Ilarslan, Spacelike Normal Curves in Minkowski E3
1 , Turk. J. Math 29(2005), 53-63
[7] 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
[8] K. Ilarslan, E. Nesovic, Spacelike and timelike normal curves, , Publications de l'Institut
Mathmatique (Beograd) Nouvelle serie, tome 85(99) (2009) 111-118.
[9] K. Ilarslan, E. Nesovic, Some characterizations of rectifying curves in the Euclidean space
E4., Turkish J. Math. 32 (2008), no. 1, 21-30
[10] 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.
[11] M. Onder, H. Kocayigit and M. Kazaz, Spacelike Helices in Minkowski 4-space, Ann. Univ.
Ferrera 2010, 56, 335-343
[12] 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
[13] M. A. Akgun, A. I. Sivridag, On The Null Cartan Curves of R4
1, Global Journal of Mathe-
matics, Vol.1 No.1,2015,41-50
[14] M. A. Akgun, A. I. Sivridag, On The Characterizations of Timelike Curves in R4
1, Global
Journal of Mathematics, Vol.2 No.2,2015,116-127
[15] M. A. Akgun, A. I. Sivridag, Some Characterizations of a Spacelike Curve in R4
1, Pure
Mathematical Sciences, Hikari Ltd., Vol.4 No.1-4,2015,43-55
Year 2016,
Volume: 4 Issue: 2, 299 - 307, 01.10.2016
[1] A.C. Coken, and U. Ciftci, On the Cartan Curvatures of a Null Curve in Minkowski Space-
time, Geometriae Dedicate 114 (2005), 71-78.
[2] A. Fernandez, A. Gimenez, and P. Lucas, Null helices in Lorentzian space forms, Int. J. Mod.
Phys. A. 16 (2001), 4845-4863.
[3] 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
[4] C. Camci, K. Ilarslan, L. Kula, H.H. Hacisalihoglu, Harmonic Curvatures and Generalized
Helices in En, Chaos,Solitions and Fractals 40 (2009), 2590-2596.
[5] 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.
[6] K. Ilarslan, Spacelike Normal Curves in Minkowski E3
1 , Turk. J. Math 29(2005), 53-63
[7] 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
[8] K. Ilarslan, E. Nesovic, Spacelike and timelike normal curves, , Publications de l'Institut
Mathmatique (Beograd) Nouvelle serie, tome 85(99) (2009) 111-118.
[9] K. Ilarslan, E. Nesovic, Some characterizations of rectifying curves in the Euclidean space
E4., Turkish J. Math. 32 (2008), no. 1, 21-30
[10] 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.
[11] M. Onder, H. Kocayigit and M. Kazaz, Spacelike Helices in Minkowski 4-space, Ann. Univ.
Ferrera 2010, 56, 335-343
[12] 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
[13] M. A. Akgun, A. I. Sivridag, On The Null Cartan Curves of R4
1, Global Journal of Mathe-
matics, Vol.1 No.1,2015,41-50
[14] M. A. Akgun, A. I. Sivridag, On The Characterizations of Timelike Curves in R4
1, Global
Journal of Mathematics, Vol.2 No.2,2015,116-127
[15] M. A. Akgun, A. I. Sivridag, Some Characterizations of a Spacelike Curve in R4
1, Pure
Mathematical Sciences, Hikari Ltd., Vol.4 No.1-4,2015,43-55
Akgun, M. A., Sıvrıdag, A. İ., & Kılıc, E. (2016). THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4. Konuralp Journal of Mathematics, 4(2), 299-307.
AMA
Akgun MA, Sıvrıdag Aİ, Kılıc E. THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4. Konuralp J. Math. October 2016;4(2):299-307.
Chicago
Akgun, M. Aykut, A. İhsan Sıvrıdag, and Erol Kılıc. “THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4”. Konuralp Journal of Mathematics 4, no. 2 (October 2016): 299-307.
EndNote
Akgun MA, Sıvrıdag Aİ, Kılıc E (October 1, 2016) THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4. Konuralp Journal of Mathematics 4 2 299–307.
IEEE
M. A. Akgun, A. İ. Sıvrıdag, and E. Kılıc, “THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4”, Konuralp J. Math., vol. 4, no. 2, pp. 299–307, 2016.
ISNAD
Akgun, M. Aykut et al. “THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4”. Konuralp Journal of Mathematics 4/2 (October 2016), 299-307.
JAMA
Akgun MA, Sıvrıdag Aİ, Kılıc E. THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4. Konuralp J. Math. 2016;4:299–307.
MLA
Akgun, M. Aykut et al. “THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4”. Konuralp Journal of Mathematics, vol. 4, no. 2, 2016, pp. 299-07.
Vancouver
Akgun MA, Sıvrıdag Aİ, Kılıc E. THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4. Konuralp J. Math. 2016;4(2):299-307.