# Article

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Keywords:
Minkowski space; timelike curve; Frenet equations; slant helix
Summary:
We consider a unit speed timelike curve $\alpha$ in Minkowski 4-space ${\mathbf{E}}_1^4$ and denote the Frenet frame of $\alpha$ by $\lbrace {\mathbf{T}}, {\mathbf{N}}, {\mathbf{B}}_1, {\mathbf{B}}_2\rbrace$. We say that $\alpha$ is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction $U$ of ${\mathbf{E}}_1^4$. In this work we study those helices where the function $\langle {\mathbf{B}}_2,U\rangle$ is constant and we give different characterizations of such curves.
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