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http://dx.doi.org/10.4134/JKMS.2011.48.1.159

SLANT HELICES IN MINKOWSKI SPACE E13  

Ali, Ahmad T. (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE KING ABDUL AZIZ UNIVERSITY, MATHEMATICS DEPARTMENT FACULTY OF SCIENCE)
Lopez, Rafael (DEPARTAMENTO DE GEOMETRIA Y TOPOLOGIA UNIVERSIDAD DE GRANADA)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 159-167 More about this Journal
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 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 $E_1^3$.
Keywords
Minkowski 3-space; Frenet equations; slant helix;
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