On Spacelike $(1,3)$-Bertrand Curves in $E_{2}^{4}$

Authors : Tuba AĞIRMAN AYDIN, Hüseyin KOCAYİĞİT

Pages : 1-11

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Publication Date : 2021-12-27

Article Type : Research Paper

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 $insert ignore into journalissuearticles values(1,3);$-Bertrand curve in $E_{2}^{4}$. Moreover, the characterizations of spacelike insert ignore into journalissuearticles values(1,3);-Bertrand curves is given in $E_{2}^{4}$.
Keywords : Semi Euclidean space, spacelike Bertrand curves, spacelike 1, 3, Bertrand curves