Null Curves of Constant Breadth in Minkowski 4-Space

Yıl 2019, Cilt: 68 Sayı: 1, 451 - 456, 01.02.2019

Bülent Altunkaya , Ferdağ Kahraman Aksoyak

https://doi.org/10.31801/cfsuasmas.425624

Öz

In this paper, we define null curves of constant breadth in Minkowski 4-space and obtain a characterization of these curves. Also we give an example for such curves.

Anahtar Kelimeler

Null curves, curves of constant breadth, Minkowski space

Kaynakça

• Akdoğan Z., Mağden A., Some characterization of curves of constant breadth in Eⁿ space, Turkish J. Math., 25, (2001), 433-444.
• Euler L., De curvis triangularibus, Acta Acad. Petropol, 1778 (II), (1780) 3-30.
• Kahraman F, Gök I, Ilarslan K., Generalized null Bertrand curves in Minkowski space-time. Scientic Annals of Al.I. Cuza University of Iasi Mathematica, 60, (2014), 489-502.
• Kocayiğit H., Önder, M., Space curves of constant breadth in Minkowski 3-space, Ann. Mat. Pura. Appl. 192 (5), (2013), 805-814.
• Kocayiğit, H., Zennure, Ç., Some characterizations of constant breadth spacelike curves in Minkowski 4-space E₁⁴, New Trends Math. Sci. 3 (2), (2015), 1-12.
• Kocayiğit, H., Çetin M., Evirgen M., Timelike curves of constant breadth according to Bishop frame in Minkowski 3-space, Iran J.Sci. Technol. Trans. A Sci. 41, (2017), 45-49.
• Köse Ö., Some properties of ovals and curves of constant width in a plane, Doğa Sci. J. Serial B 8, (1984), 119-126.
• Köse Ö., On space curves of constant breadth, Doğa Mat. 10, (1986), 11-14.
• Mağden A. Köse Ö., On the curves of constant breadth in E⁴ space, Turkish J. Math., 21, (1997), 277-284.
• O'Neill B., Semi-Riemannian geometry with applications to relativity, Academic Press, New York, 1983.
• Önder M., Kocayiğit H., Candan E. Differential equations characterizing timelike and spacelike curves of constant breadth in Minkowski 3-space E₁³, J. Korean Math. Soc. 48(4), (2011), 849-866.
• Özyılmaz E., Yılmaz S. and Nizamoğlu Ş., Simple closed null curves in Minkowski 3-space, Sci. Magna, 5(3), (2009), 40-43.
• Turgut M., Smarandache breadth pseudo null curves in Minkowski space-time, Int. J. Math. Comb. 1, (2009), 46-49.
• Yılmaz S., Turgut M., Partially null curves of constant breadth in semi-Riemannian space, Modern App. Sci., 3 (3), (2009), 60-63.
• Walrave J., Curves and surfaces in Minkowski space, Thesis (Ph.D.), Katholieke Universiteit Leuven (Belgium), 1995.