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arxiv: 0810.1460 · v1 · submitted 2008-10-08 · 🧮 math.DG

Timelike B₂-slant helices in Minkowski space E₁⁴

classification 🧮 math.DG
keywords alphaconstantframefrenethelicesminkowskispacetimelike
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We consider a unit speed timelike curve $\alpha$ in Minkowski 4-space $E_1^4$ and denote the Frenet frame of $\alpha$ by $\{T,N,B_1,B_2\}$. 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 $E_1^4$. In this work we study those helices where the function $<B_2,U>$ is constant and we give different characterizations of such curves.

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