On slant helices in Minkowski space $E_1^3$

Details On slant helices in Minkowski space $E_1^3$ On slant helices in Minkowski space $E_1^3$

2008-10-08

arxiv.org/abs/0810.1464v1

Mathematics

Differential Geometry

7 pages

Scientific paper

We consider a curve $\alpha=\alpha(s)$ in Minkowski 3-space $E_1^3$ and
denote by $\{T,N,B}$ the Frenet frame of $\alpha$. We say that $\alpha$ is a
slant helix if there exists a fixed direction $U$ of $E_1^3$ such that the
function $$ is constant. In this work we give characterizations of
slant helices in terms of the curvature and torsion of $\alpha$.

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