Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 7 Sayı: 1, 208 - 216, 15.04.2019

Öz

Kaynakça

  • [1] Gokc¸elik F., Bozkurt Z., Gok ˙I., Ekmekc¸i F.N., Yaylı Y., Parallel Transport Frame in 4- Dimensional Euclidean Space E4: Caspian Journal of Sciences, 3 (2014), pp:91-102.
  • [2] Magden A., Characterizations of Some Special curves in E4; Dissertation, Dept. Math. Atat¨urk University, Erzurum, TURKEY, 1990.
  • [3] Turgut M., Ali A.T., Some Characterizations of Special Curves in Euclidean Space E4; Acta Univ. Sapientiae, Mathematica, 2 (2010), pp:111-122.
  • [4] Walrave J., Curves and Surfaces in Minkowski Space, Doctoral Thesis, K.U. Leuven, Fac. of Science, Leuven (1995).
  • [5] Yılmaz S., Turgut M., On the Differential Geometry of the Curves in Minkowski Space-time I, Int. J. Contemp. Math. Science, 3(2008), pp:1343-1349.
  • [6] Camcı C, Ilarslan K., Sucurovic E., On Pseudohyperbolical Curves in Minkowski Space-time, Turkish Journal of Mathematics, 27 (2003), pp:315-328.
  • [7] Turgut M., Yılmaz S., Characterization of Some Spacelike Curves in Minkowski Space-time, International J. Math. Combin., 2(2008), pp:17-22.
  • [8] Erdogdu M., Parallel frame of non-lightlike curves in Minkowski space-time, International Journal of Geometric Methods in Modern Physics, 12 (2015), pp:1-16.
  • [9] Ozdemir M., Ergin A.A., Parallel Frames of Non-Lightlike Curves, Missouri Journal of Mathematical Sciences, 20 (2008), pp:127-137.
  • [10] Magden A., On the curves of constant slope, YYU Fen Bilimleri Dergisi, 4(1993), pp: 103-109.
  • [11] ¨Onder M., Kocayigit H., Kazaz M., Spacelike Helices in Minkowski 4-Space E41, Ann Univ Ferrara, 56 (2010), pp:335–343.

On Nonlightlike Curves in Minkowski Space-time

Yıl 2019, Cilt: 7 Sayı: 1, 208 - 216, 15.04.2019

Öz

In this paper, some special nonlightlike curves are investigated depending on characterizations of their Serret-Frenet frames in Minkowski space-time. Firstly, a great survey of nonlightlike curves in Minkowski space-time is stated. To generalize the results, the nonlightlike curves with the character of Serret-Frenet frame (ε₁,ε₂,ε₃,ε₄) are considered. So that, the necessary or/and sufficient conditions of a given nonlightlike curve to be a straight line, plane curve, helix and to lie on pseudohyperbolical space H₀³(r) and Lorentzian hypersphere S₀³(r) are stated both depending on curvature functions and character of Serret-Frenet frame of the curve, respectively.

Kaynakça

  • [1] Gokc¸elik F., Bozkurt Z., Gok ˙I., Ekmekc¸i F.N., Yaylı Y., Parallel Transport Frame in 4- Dimensional Euclidean Space E4: Caspian Journal of Sciences, 3 (2014), pp:91-102.
  • [2] Magden A., Characterizations of Some Special curves in E4; Dissertation, Dept. Math. Atat¨urk University, Erzurum, TURKEY, 1990.
  • [3] Turgut M., Ali A.T., Some Characterizations of Special Curves in Euclidean Space E4; Acta Univ. Sapientiae, Mathematica, 2 (2010), pp:111-122.
  • [4] Walrave J., Curves and Surfaces in Minkowski Space, Doctoral Thesis, K.U. Leuven, Fac. of Science, Leuven (1995).
  • [5] Yılmaz S., Turgut M., On the Differential Geometry of the Curves in Minkowski Space-time I, Int. J. Contemp. Math. Science, 3(2008), pp:1343-1349.
  • [6] Camcı C, Ilarslan K., Sucurovic E., On Pseudohyperbolical Curves in Minkowski Space-time, Turkish Journal of Mathematics, 27 (2003), pp:315-328.
  • [7] Turgut M., Yılmaz S., Characterization of Some Spacelike Curves in Minkowski Space-time, International J. Math. Combin., 2(2008), pp:17-22.
  • [8] Erdogdu M., Parallel frame of non-lightlike curves in Minkowski space-time, International Journal of Geometric Methods in Modern Physics, 12 (2015), pp:1-16.
  • [9] Ozdemir M., Ergin A.A., Parallel Frames of Non-Lightlike Curves, Missouri Journal of Mathematical Sciences, 20 (2008), pp:127-137.
  • [10] Magden A., On the curves of constant slope, YYU Fen Bilimleri Dergisi, 4(1993), pp: 103-109.
  • [11] ¨Onder M., Kocayigit H., Kazaz M., Spacelike Helices in Minkowski 4-Space E41, Ann Univ Ferrara, 56 (2010), pp:335–343.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Melek Erdoğdu

Yayımlanma Tarihi 15 Nisan 2019
Gönderilme Tarihi 28 Kasım 2017
Kabul Tarihi 8 Nisan 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 1

Kaynak Göster

APA Erdoğdu, M. (2019). On Nonlightlike Curves in Minkowski Space-time. Konuralp Journal of Mathematics, 7(1), 208-216.
AMA Erdoğdu M. On Nonlightlike Curves in Minkowski Space-time. Konuralp J. Math. Nisan 2019;7(1):208-216.
Chicago Erdoğdu, Melek. “On Nonlightlike Curves in Minkowski Space-Time”. Konuralp Journal of Mathematics 7, sy. 1 (Nisan 2019): 208-16.
EndNote Erdoğdu M (01 Nisan 2019) On Nonlightlike Curves in Minkowski Space-time. Konuralp Journal of Mathematics 7 1 208–216.
IEEE M. Erdoğdu, “On Nonlightlike Curves in Minkowski Space-time”, Konuralp J. Math., c. 7, sy. 1, ss. 208–216, 2019.
ISNAD Erdoğdu, Melek. “On Nonlightlike Curves in Minkowski Space-Time”. Konuralp Journal of Mathematics 7/1 (Nisan 2019), 208-216.
JAMA Erdoğdu M. On Nonlightlike Curves in Minkowski Space-time. Konuralp J. Math. 2019;7:208–216.
MLA Erdoğdu, Melek. “On Nonlightlike Curves in Minkowski Space-Time”. Konuralp Journal of Mathematics, c. 7, sy. 1, 2019, ss. 208-16.
Vancouver Erdoğdu M. On Nonlightlike Curves in Minkowski Space-time. Konuralp J. Math. 2019;7(1):208-16.
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