NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE
Yıl: 2019 Cilt: 68 Sayı: 1 Sayfa Aralığı: 451 - 456 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.425624 İndeks Tarihi: 19-11-2020
NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE
Öz: In this paper, we deÖne null curves of constant breadth in Minkowski4-space and obtain a characterization of these curves. Also we give an examplefor such curves.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Akdogan Z., Mağden A., Some characterization of curves of constant breadth in En space, Turkish J. Math., 25, (2001), 433-444.
- [2] Euler L., De curvis triangularibus, Acta Acad. Petropol, 1778 (II), (1780) 3-30.
- [3] 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.
- [4] Kocayigit H., Önder, M., Space curves of constant breadth in Minkowski 3-space, Ann. Mat. Pura. Appl. 192 (5), (2013), 805-814.
- [5] Kocayigit, H., Zennure, Ç., Some characterizations of constant breadth spacelike curves in Minkowski 4-space E41, New Trends Math. Sci. 3 (2), (2015), 1-12.
- [6] Kocayigit, 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.
- [7] Köse Ö., Some properties of ovals and curves of constant width in a plane, Doğa Sci. J. Serial B 8, (1984), 119-126.
- [8] Köse Ö., On space curves of constant breadth, Doğa Mat. 10, (1986), 11-14.
- [9] Magden A. Köse Ö., On the curves of constant breadth in E4 space, Turkish J. Math., 21, (1997), 277-284.
- [10] OíNeill B., Semi-Riemannian geometry with applications to relativity, Academic Press, New York. 1983.
- [11] Önder M., Kocayigit H., Candan E. Di§erential equations characterizing timelike and space- º like curves of constant breadth in Minkowski 3-space E3 1, J. Korean Math. Soc. 48(4), (2011), 849-866.
- [12] Özyılmaz E., Yılmaz S. and Nizamoglu ¸S., Simple closed null curves in Minkowski 3-space, Sci. Magna, 5(3), (2009), 40-43.
- [13] Turgut M., Smarandache breadth pseudo null curves in Minkowski space-time, Int. J. Math. Comb. 1, (2009), 46-49.
- [14] Yılmaz S., Turgut M., Partially null curves of constant breadth in semi-Riemannian space, Modern App. Sci., 3 (3), (2009), 60-63.
- [15] Walrave J., Curves and surfaces in Minkowski space, Thesis (Ph.D.), Katholieke Universiteit Leuven (Belgium), 1995.
| APA | KAHRAMAN AKSOYAK F (2019). NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE. , 451 - 456. 10.31801/cfsuasmas.425624 |
| Chicago | KAHRAMAN AKSOYAK Ferdağ NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE. (2019): 451 - 456. 10.31801/cfsuasmas.425624 |
| MLA | KAHRAMAN AKSOYAK Ferdağ NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE. , 2019, ss.451 - 456. 10.31801/cfsuasmas.425624 |
| AMA | KAHRAMAN AKSOYAK F NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE. . 2019; 451 - 456. 10.31801/cfsuasmas.425624 |
| Vancouver | KAHRAMAN AKSOYAK F NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE. . 2019; 451 - 456. 10.31801/cfsuasmas.425624 |
| IEEE | KAHRAMAN AKSOYAK F "NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE." , ss.451 - 456, 2019. 10.31801/cfsuasmas.425624 |
| ISNAD | KAHRAMAN AKSOYAK, Ferdağ. "NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE". (2019), 451-456. https://doi.org/10.31801/cfsuasmas.425624 |
| APA | 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. 10.31801/cfsuasmas.425624 |
| Chicago | 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, no.1 (2019): 451 - 456. 10.31801/cfsuasmas.425624 |
| MLA | KAHRAMAN AKSOYAK Ferdağ 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, ss.451 - 456. 10.31801/cfsuasmas.425624 |
| AMA | KAHRAMAN AKSOYAK F NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 451 - 456. 10.31801/cfsuasmas.425624 |
| Vancouver | KAHRAMAN AKSOYAK F NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 451 - 456. 10.31801/cfsuasmas.425624 |
| IEEE | KAHRAMAN AKSOYAK F "NULL CURVES OF CONSTANT BREADTH IN MINKOWSKI 4-SPACE." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68, ss.451 - 456, 2019. 10.31801/cfsuasmas.425624 |
| ISNAD | 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 (2019), 451-456. https://doi.org/10.31801/cfsuasmas.425624 |
