Null Curves of Constant Breadth in Minkowski 4-Space

Bülent Altunkaya; Ferdağ Kahraman Aksoyak

doi:10.31801/cfsuasmas.425624

Araştırma Makalesi

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.

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

Bülent Altunkaya Ferdağ Kahraman Aksoyak

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

Öz

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.

Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Makaleler
Yazarlar	Bülent Altunkaya 0000-0003-4633-034X Ferdağ Kahraman Aksoyak 0000-0002-3186-5643
Yayımlanma Tarihi	1 Şubat 2019
Gönderilme Tarihi	6 Mart 2017
Kabul Tarihi	22 Ocak 2018
Yayımlandığı Sayı	Yıl 2019 Cilt: 68 Sayı: 1

Kaynak Göster

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. Şubat 2019;68(1):451-456. doi:10.31801/cfsuasmas.425624
Chicago	Altunkaya, Bülent, ve 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, sy. 1 (Şubat 2019): 451-56. https://doi.org/10.31801/cfsuasmas.425624.
EndNote	Altunkaya B, Kahraman Aksoyak F (01 Şubat 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 ve F. Kahraman Aksoyak, “Null Curves of Constant Breadth in Minkowski 4-Space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 1, ss. 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 (Şubat 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 ve Ferdağ Kahraman Aksoyak. “Null Curves of Constant Breadth in Minkowski 4-Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 1, 2019, ss. 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.