# Some Characterizations of Cylindrical Helices in $E^n$ - Mathematics > Differential Geometry

Some Characterizations of Cylindrical Helices in $E^n$ - Mathematics > Differential Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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.

Autor: Ahmad T. Ali, Rafael López

Fuente: https://arxiv.org/