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arxiv: 1108.3582 · v1 · pith:TMBPY2QVnew · submitted 2011-08-17 · 🧮 math.DG

On Slant Helices and General Helices in Euclidean n-Space

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keywords helicesslanthelixeuclideansphericalaxiscurvesdirection
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In this paper, in Euclidean n -space, we investigate the relation between slant helices and spherical helices. Moreover, in E n, we show that a slant helix and the tangent indicatrix of the slant helix have the same axis (or direction). Also, we give the important relations between slant helices, spherical helices in E n and geodesic curves on a helix hypersurface in E n.

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