Generalized Null Bertrand Curves In Minkowski Space Time
Yazarlar (3)
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Ankara Üniversitesi, Türkiye
Kirikkale Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi Matematica (Q4) | ||
| Dergi ISSN | 1221-8421 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 60 / 2 / 489–502 | DOI | 10.2478/aicu-2013-0031 |
| Makale Linki | http://www.degruyter.com/view/j/aicu.2014.60.issue-2/aicu-2013-0031/aicu-2013-0031.xml | ||
| Özet |
| COKEN and CIFTCI proved that a null Cartan curve in Minkowski space-time E-1(4) is a null Bertrand curve if and only if k(2) is nonzero constant and k(3) is zero. That is, the null curve with non-zero curvature k(3) is not a Bertrand curve in Minkowski space-time E-1(4). So, in this paper we defined a new type of Bertrand curve in Minkowski space-time El for a null curve with non-zero curvature k(3) by using the similar idea of generalized Bertrand curve given by MATSUDA and YOROZU and we called it a null (1, 3)-Bertrand curve. Also, we proved that if a null curve with non-zero curvatures in Minkowski spacetime E-1(4) is a null (1, 3)-Bertrand curve then it is a null helix. We give an example of such curves. |
| Anahtar Kelimeler |
| Bertrand curves | Frenet vectors | Minkowski space-time | Null curve |
| Atıf Sayıları | |
| WoS | 8 |
| SCOPUS | 9 |
| Google Scholar | 14 |