On slant helices in Minkowski space E₁³

2008/10/08 by Ali, Ahmad T., López, Rafael
#53C40 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.1464

Abstract

We consider a curve α=α(s) in Minkowski 3-space E₁³ and denote by \T,N,B the Frenet frame of α. We say that α is a slant helix if there exists a fixed direction U of E₁³ such that the function is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of α.

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