Null Curves of Constant Breadth in Minkowski 4-Space

Bülent Altunkaya; Ferdağ Kahraman Aksoyak

doi:10.31801/cfsuasmas.425624

Research Article

Null Curves of Constant Breadth in Minkowski 4-Space

Year 2019, Volume: 68 Issue: 1, 451 - 456, 01.02.2019

Bülent Altunkaya Ferdağ Kahraman Aksoyak

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

Abstract

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.

Keywords

Null curves, curves of constant breadth, Minkowski space

References

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.

Year 2019, Volume: 68 Issue: 1, 451 - 456, 01.02.2019

Bülent Altunkaya Ferdağ Kahraman Aksoyak

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

Abstract

References

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.

There are 15 citations in total.

Details

Primary Language	English
Journal Section	Review Articles
Authors	Bülent Altunkaya 0000-0003-4633-034X Ferdağ Kahraman Aksoyak 0000-0002-3186-5643
Publication Date	February 1, 2019
Submission Date	March 6, 2017
Acceptance Date	January 22, 2018
Published in Issue	Year 2019 Volume: 68 Issue: 1

Cite

APA	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.