Harmonic curvatures of non null curves and the helix in $R^n_v$

Abstract

In this work the curvatures of non null curves in the Semi- Euclidean space $Bbb{R}^n_v$ with index v are defined in a similar way to those in Euclidean space, and also the harmonic curvatures are defined in terms of these curvatures. We also give two theorems which provides some important information about a helix, namely any helix must be contained in a three dimensional subspace.