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arxiv: 1311.4730 · v2 · pith:F4YR2F37new · submitted 2013-11-19 · 🧮 math.DG

A New Approach on Curves of Constant Precession

classification 🧮 math.DG
keywords slanthelixsphericalconstantcurveindicatrixprecessionapproach
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In this paper, we investigate a curve whose spherical image the tangent indicatrix and binormal indicatrix is slant helix and called it as a slant helix. We obtain that the spherical images are spherical slant helices defined by [3]. This notation is a generalization of a slant helix. Furthermore, we have given some characterizations for the slant helix and we show that a curve of constant precession is a slant helix.

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