Araştırma Makalesi

On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space

Cilt: 2 Sayı: 2 9 Aralık 2020
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On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space

Öz

The aim of this paper is to discuss the causal characterization of spherical indicatrices of timelike curves in Minkowski 3-space. Firstly, we focus on the introduction of curves in Minkowski 3-space with its Frenet equations. In the next section the concept of spherical indicatrix of tangent, normal and binormal vectors of timelike curves is provided structurally with their casual properties. In addition, numerical example is provided in the last section.

Anahtar Kelimeler

Kaynakça

  1. [1] Ali, A. T., (2009). New Spherical Curves and Their Spherical Indicatrices. Global Journal of Advance Research on Classical and Modern Geometries, 2(1), 28-38.
  2. [2] Lipschutz, M. M. (1969). Schaum's Outline of Differential Geometry, McGraw-Hill, Canada.
  3. [3] Lopez, R., (2014). Differential Geometry of Curves and Surface in Lorentz-Minkowski Space. International Electronic Journal of Geometry, 7(1), 44-107.
  4. [4] Mohajan, H. K., (2013). Minkowski Geometry and Space-time Manifold in Relativity. Journal of Environmental Treatment Techniques, 1 (2), 101-109.
  5. [5] O'neill, B.(1983). Semi-Riemannian geometry and its application to relativity, Academic press, New York.
  6. [6] Samanci, H. K., Kalkan, O., & Celik, S., (2019). The Timelike Bezier Spline in Minkowski 3-Space. Journal of Science and Arts, 19(2), 357-374.
  7. [7] Chung, S. K., (1982). A Study on The Spherical Indicatrix of Space Curve in $\mathbf{E}^3$. The Mathematical Education, 20(3), 23-26.
  8. [8] Bilici, M., & Ali, A., (2017).On the Natural Lift Curves for the Involute Spherical Indicatrices in Minkowski 3-space. Malaya Journal of Matematik, 5(2), 407-415.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

9 Aralık 2020

Gönderilme Tarihi

18 Eylül 2020

Kabul Tarihi

2 Aralık 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 2 Sayı: 2

Kaynak Göster

APA
Arfah, A. (2020). On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space. Hagia Sophia Journal of Geometry, 2(2), 26-37. https://izlik.org/JA25UR77AJ
AMA
1.Arfah A. On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space. HSJG. 2020;2(2):26-37. https://izlik.org/JA25UR77AJ
Chicago
Arfah, Arfah. 2020. “On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space”. Hagia Sophia Journal of Geometry 2 (2): 26-37. https://izlik.org/JA25UR77AJ.
EndNote
Arfah A (01 Aralık 2020) On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space. Hagia Sophia Journal of Geometry 2 2 26–37.
IEEE
[1]A. Arfah, “On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space”, HSJG, c. 2, sy 2, ss. 26–37, Ara. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA25UR77AJ
ISNAD
Arfah, Arfah. “On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space”. Hagia Sophia Journal of Geometry 2/2 (01 Aralık 2020): 26-37. https://izlik.org/JA25UR77AJ.
JAMA
1.Arfah A. On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space. HSJG. 2020;2:26–37.
MLA
Arfah, Arfah. “On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space”. Hagia Sophia Journal of Geometry, c. 2, sy 2, Aralık 2020, ss. 26-37, https://izlik.org/JA25UR77AJ.
Vancouver
1.Arfah Arfah. On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space. HSJG [Internet]. 01 Aralık 2020;2(2):26-37. Erişim adresi: https://izlik.org/JA25UR77AJ