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

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

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