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THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4

Yıl 2016, Cilt: 4 Sayı: 2, 299 - 307, 01.10.2016

Öz

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.

Kaynakça

  • [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
Yıl 2016, Cilt: 4 Sayı: 2, 299 - 307, 01.10.2016

Öz

Kaynakça

  • [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
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

M. Aykut Akgun Bu kişi benim

A. İhsan Sıvrıdag Bu kişi benim

Erol Kılıc Bu kişi benim

Yayımlanma Tarihi 1 Ekim 2016
Gönderilme Tarihi 10 Temmuz 2014
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 2

Kaynak Göster

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. Ekim 2016;4(2):299-307.
Chicago Akgun, M. Aykut, A. İhsan Sıvrıdag, ve Erol Kılıc. “THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4”. Konuralp Journal of Mathematics 4, sy. 2 (Ekim 2016): 299-307.
EndNote Akgun MA, Sıvrıdag Aİ, Kılıc E (01 Ekim 2016) THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4. Konuralp Journal of Mathematics 4 2 299–307.
IEEE M. A. Akgun, A. İ. Sıvrıdag, ve E. Kılıc, “THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4”, Konuralp J. Math., c. 4, sy. 2, ss. 299–307, 2016.
ISNAD Akgun, M. Aykut vd. “THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4”. Konuralp Journal of Mathematics 4/2 (Ekim 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 vd. “THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4”. Konuralp Journal of Mathematics, c. 4, sy. 2, 2016, ss. 299-07.
Vancouver Akgun MA, Sıvrıdag Aİ, Kılıc E. THE CHARACTERIZATIONS OF SPACELIKE CURVES IN R4. Konuralp J. Math. 2016;4(2):299-307.
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