SLANT HELICES IN MINKOWSKI SPACE E13

Title & Authors
SLANT HELICES IN MINKOWSKI SPACE E13
Ali, Ahmad T.; Lopez, Rafael;

Abstract
We consider a curve $\small{\alpha}$= $\small{\alpha}$(s) in Minkowski 3-space $\small{E_1^3}$ and denote by {T, N, B} the Frenet frame of $\small{\alpha}$. We say that $\small{\alpha}$ is a slant helix if there exists a fixed direction U of $\small{E_1^3}$ such that the function is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of $\small{\alpha}$. Finally, we discuss the tangent and binormal indicatrices of slant curves, proving that they are helices in $\small{E_1^3}$.
Keywords
Minkowski 3-space;Frenet equations;slant helix;
Language
English
Cited by
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