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SLANT HELICES IN MINKOWSKI SPACE E-1(3)
Journal article   Open access  Peer reviewed

SLANT HELICES IN MINKOWSKI SPACE E-1(3)

Ahmad T. Ali and Rafael Lopez
Journal of the Korean Mathematical Society, Vol.48(1), pp.159-167
01/01/2011

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 binomial indicatrices of slant curves, proving that they are helices in E-1(3).
url
https://doi.org/10.4134/JKMS.2011.48.1.159View
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