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arxiv: 1402.3099 · v1 · pith:FMC3RSQNnew · submitted 2014-02-13 · 🧮 math.DG

Helices in the Euclidean 5-Space

classification 🧮 math.DG
keywords helixslanteuclideanspacehelicesothertypeaddition
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In this study, we have identified $V_3$ slant helix ($2^{nd}$ type slant helix, $V_5$ slant helix ($3^{rd}$ type slant helix) and attained some characteristic properties in the Euclidean 5-Space $E^5$. In addition to this, we have proven that there are no other helices other than $V_1$ helix (inclined curve), $V_3$ slant helix and $V_5$ slant helix in the 5-dimensional Euclidean space $E^5$.

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