Araştırma Makalesi

On The Characterizations of Timelike Curves in R^4_2

Cilt: 9 Sayı: 2 30 Aralık 2019
PDF İndir
TR EN

On The Characterizations of Timelike Curves in R^4_2

Öz

    In this paper by establishing the Frenet frame {T,N,B_1,B_2} for a timelike curve we study the different position vectors of timelike curves in Semi-Euclidean space R^4_2. We gave the position vectors of timelike curves in terms of curvature functions which lie on the three dimensional subspaces of R^4_2.

Anahtar Kelimeler

Kaynakça

  1. [1] Fernandez, A., Gimenez, A., Lucas, P., Null helices in Lorentzian space forms, International Journal of Modern Physics A, 16, 4845-4863, 2001.
  2. [2] Çöken, A.C., Çiftçi, Ü., On the Cartan curvatures of a null curve in Minkowski spacetime, Geometriae Dedicate, 114 71-78, 2005.
  3. [3] İlarslan, K., Boyacıoğlu, Ö., Position vectors of a timelike and a null helix in Minkowski 3-space, Chaos, Solitions and Fractals, 38, 1383-1389, 2008.
  4. [4] İlarslan, K., Nesovic, E., Some characterizations of null osculating curves in the Minkowski space-time, Proceedings of the Estonian Academy of Sciences, 61(I), 1-8, 2012.
  5. [5] İlarslan, K., Spacelike normal curves in Minkowski E^3_1, Turkish Journal of Mathematics, 29, 53-63, 2005.
  6. [6] İlarslan, K., Nesovic, E., Petrovic-Torgasev, M., Some characterizations of rectifying curves in Minkowski 3-space, Novi Sad Journal of Mathematics, 33(2), 23-32, 2003.
  7. [7] Ali, A.T., Önder, M., Some characterizations of rectifying spacelike curves in the Minkowski space-time, Global Journal of Science Frontier Research Mathematics, 12(1), 2249-4626, 2012.
  8. [8] Keleş, S., Yüksel Perktaş S., Kılıç, E., Biharmonic curves in lp-sasakian manifolds, Bulletin of the Malasyian Mathematical Society, 33(2), 325-344, 2010.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Aralık 2019

Gönderilme Tarihi

7 Aralık 2018

Kabul Tarihi

18 Aralık 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 9 Sayı: 2

Kaynak Göster

APA
Akgün, M. A. (2019). On The Characterizations of Timelike Curves in R^4_2. Adıyaman University Journal of Science, 9(2), 342-351. https://doi.org/10.37094/adyujsci.493589
AMA
1.Akgün MA. On The Characterizations of Timelike Curves in R^4_2. ADYU J SCI. 2019;9(2):342-351. doi:10.37094/adyujsci.493589
Chicago
Akgün, Müslüm Aykut. 2019. “On The Characterizations of Timelike Curves in R^4_2”. Adıyaman University Journal of Science 9 (2): 342-51. https://doi.org/10.37094/adyujsci.493589.
EndNote
Akgün MA (01 Aralık 2019) On The Characterizations of Timelike Curves in R^4_2. Adıyaman University Journal of Science 9 2 342–351.
IEEE
[1]M. A. Akgün, “On The Characterizations of Timelike Curves in R^4_2”, ADYU J SCI, c. 9, sy 2, ss. 342–351, Ara. 2019, doi: 10.37094/adyujsci.493589.
ISNAD
Akgün, Müslüm Aykut. “On The Characterizations of Timelike Curves in R^4_2”. Adıyaman University Journal of Science 9/2 (01 Aralık 2019): 342-351. https://doi.org/10.37094/adyujsci.493589.
JAMA
1.Akgün MA. On The Characterizations of Timelike Curves in R^4_2. ADYU J SCI. 2019;9:342–351.
MLA
Akgün, Müslüm Aykut. “On The Characterizations of Timelike Curves in R^4_2”. Adıyaman University Journal of Science, c. 9, sy 2, Aralık 2019, ss. 342-51, doi:10.37094/adyujsci.493589.
Vancouver
1.Müslüm Aykut Akgün. On The Characterizations of Timelike Curves in R^4_2. ADYU J SCI. 01 Aralık 2019;9(2):342-51. doi:10.37094/adyujsci.493589