Araştırma Makalesi

ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE

Cilt: 4 Sayı: 2 31 Temmuz 2021
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ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE

Öz

In this paper, we investigate the spherical images of null curves and null helixes in Minkowski 3-space. We provide the spherical indicatrices of null curves in Minkowski 3-space with their causal characteristics. We also show the conditions of spherical indicatrices of null curves to be a curve lying on pseudo-sphere in Minkowski 3-space. In addition, we give the properties of spherical indicatrices of null curves satisfying generalized helices and lying on pseudo-sphere in Minkowski 3-space.

Anahtar Kelimeler

Kaynakça

  1. A.T. Ali, New spherical curves and their spherical indicatrices, Global Journal of Advance Research on Classical and Modern Geometries, 2(1) (2009),28--38.
  2. M. M. Lipschutz, Schaum’s Outline of Differential Geometry, McGraw-Hill, Canada (1969).
  3. R. Lopez, Differential geometry of curves and surface in Lorentz-Minkowski space, International electronic journal of geometry, 1(2) (2014), 44-107.
  4. H. K. Mohajan, Minkowski geometry and space-time manifold in relativity, Journal of Environmental Techniques, 1 (2013), 101--109.
  5. B. O’neil, Semi-Riemannian Geometry and Its Application to Relativity, Academic press, New York (1983).
  6. H.K. Samanci, O. Kalkan, S. Celik ,The timelike bezier spline in Minkowski 3-space, Journal of science and arts, Vol: 2 (2019), 357 – 374.
  7. J. Inoguchi and S. Lee, Null curves in Minkowski 3-space, International Electronic Journal of Geometry, 1(2) (2008), 40--83.
  8. K.L. Duggal and D.H. Jin, Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, World scientific, Singapore (2007).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2021

Gönderilme Tarihi

15 Mayıs 2021

Kabul Tarihi

28 Temmuz 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Arfah, A. (2021). ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE. Journal of Universal Mathematics, 4(2), 209-221. https://doi.org/10.33773/jum.937457
AMA
1.Arfah A. ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE. JUM. 2021;4(2):209-221. doi:10.33773/jum.937457
Chicago
Arfah, Arfah. 2021. “ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE”. Journal of Universal Mathematics 4 (2): 209-21. https://doi.org/10.33773/jum.937457.
EndNote
Arfah A (01 Temmuz 2021) ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE. Journal of Universal Mathematics 4 2 209–221.
IEEE
[1]A. Arfah, “ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE”, JUM, c. 4, sy 2, ss. 209–221, Tem. 2021, doi: 10.33773/jum.937457.
ISNAD
Arfah, Arfah. “ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE”. Journal of Universal Mathematics 4/2 (01 Temmuz 2021): 209-221. https://doi.org/10.33773/jum.937457.
JAMA
1.Arfah A. ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE. JUM. 2021;4:209–221.
MLA
Arfah, Arfah. “ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE”. Journal of Universal Mathematics, c. 4, sy 2, Temmuz 2021, ss. 209-21, doi:10.33773/jum.937457.
Vancouver
1.Arfah Arfah. ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE. JUM. 01 Temmuz 2021;4(2):209-21. doi:10.33773/jum.937457