Some Characterizations of Cylindrical Helices in $E^n$ - Mathematics > Differential GeometryReport as inadecuate




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Abstract: We consider a unit speed curve $\alpha$ in Euclidean $n$-dimensional space$E^n$ and denote the Frenet frame by $\{v 1,

.,v n\}$. We say that $\alpha$ isa cylindrical helix if its tangent vector $v 1$ makes a constant angle with afixed direction $U$. In this work we give different characterizations of suchcurves in terms of their curvatures.



Author: Ahmad T. Ali, Rafael López

Source: https://arxiv.org/



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