SLANT HELICES IN MINKOWSKI SPACE E₁³ = SLANT HELICES IN MINKOWSKI SPACE E₁³

다국어 초록 (Multilingual Abstract)

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 <N(s)U> is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of $\alpha$. Finally, we discuss the tangent and binormal indicatrices of slant curves, proving that they are helices in $E_1^3$.