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arXiv 2009-01-21 0 views

Some Characterizations of Cylindrical Helices in Eⁿ

Ali, Ahmad T. · López, Rafael

Original · EN

We consider a unit speed curve α in Euclidean n-dimensional space Eⁿ and denote the Frenet frame by {v₁,...,vₙ}. We say that α is a cylindrical helix if its tangent vector v₁ makes a constant angle with a fixed direction U. In this work we give different characterizations of such curves in terms of their curvatures.

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