- Hagia Sophia Journal of Geometry
- Vol: 3 Issue: 2
- On Spacelike $(1,3)$-Bertrand Curves in $E_{2}^{4}$
On Spacelike $(1,3)$-Bertrand Curves in $E_{2}^{4}$
Authors : Tuba Ağirman Aydin, Hüseyin Kocayiğit
Pages : 1-11
View : 14 | Download : 6
Publication Date : 2021-12-27
Article Type : Research
Abstract :In this paper, it is proved that, no special spacelike Frenet curve is a Bertrand curve in $E_{2}^{4}$. Therefore, a generalization of spacelike Bertrand curve is defined and this is called as spacelike $(1,3)$-Bertrand curve in $E_{2}^{4}$. Moreover, the characterizations of spacelike (1,3)-Bertrand curves is given in $E_{2}^{4}$.Keywords : Semi-Euclidean space, spacelike Bertrand curves, spacelike (1, 3)-Bertrand curves