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.
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.
Year 2019,
Volume: 68 Issue: 1, 451 - 456, 01.02.2019
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.
Altunkaya, B., & Kahraman Aksoyak, F. (2019). Null Curves of Constant Breadth in Minkowski 4-Space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 451-456. https://doi.org/10.31801/cfsuasmas.425624
AMA
Altunkaya B, Kahraman Aksoyak F. Null Curves of Constant Breadth in Minkowski 4-Space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2019;68(1):451-456. doi:10.31801/cfsuasmas.425624
Chicago
Altunkaya, Bülent, and Ferdağ Kahraman Aksoyak. “Null Curves of Constant Breadth in Minkowski 4-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, no. 1 (February 2019): 451-56. https://doi.org/10.31801/cfsuasmas.425624.
EndNote
Altunkaya B, Kahraman Aksoyak F (February 1, 2019) Null Curves of Constant Breadth in Minkowski 4-Space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 451–456.
IEEE
B. Altunkaya and F. Kahraman Aksoyak, “Null Curves of Constant Breadth in Minkowski 4-Space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 451–456, 2019, doi: 10.31801/cfsuasmas.425624.
ISNAD
Altunkaya, Bülent - Kahraman Aksoyak, Ferdağ. “Null Curves of Constant Breadth in Minkowski 4-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 2019), 451-456. https://doi.org/10.31801/cfsuasmas.425624.
JAMA
Altunkaya B, Kahraman Aksoyak F. Null Curves of Constant Breadth in Minkowski 4-Space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:451–456.
MLA
Altunkaya, Bülent and Ferdağ Kahraman Aksoyak. “Null Curves of Constant Breadth in Minkowski 4-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, 2019, pp. 451-6, doi:10.31801/cfsuasmas.425624.
Vancouver
Altunkaya B, Kahraman Aksoyak F. Null Curves of Constant Breadth in Minkowski 4-Space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):451-6.