| Yazarlar |
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK
Erciyes Üniversitesi, Türkiye |
İsmail Gök
Ankara Üniversitesi, Türkiye |
|
Kazım İlarslan
Kırıkkale Üniversitesi, Türkiye |
| 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 |
| Minkowski space-time, null curve, Frenet vectors, Bertrand curves |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Annals of the Alexandru Ioan Cuza University - Mathematics |
| Dergi ISSN | 1221-8421 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2014 |
| Cilt No | 60 |
| Sayı | 2 |
| Sayfalar | 489 / 502 |
| Doi Numarası | 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 |
| Atıf Sayıları | |
| WoS | 5 |
| SCOPUS | 5 |
| Google Scholar | 11 |
