Research Article
BibTex RIS Cite

THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4

Year 2016, Volume: 4 Issue: 2, 299 - 307, 01.10.2016

Abstract

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.

References

  • [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

Abstract

References

  • [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
There are 15 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

M. Aykut Akgun This is me

A. İhsan Sıvrıdag This is me

Erol Kılıc This is me

Publication Date October 1, 2016
Submission Date July 10, 2014
Published in Issue Year 2016 Volume: 4 Issue: 2

Cite

APA 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.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.