New Kind Frenet Curves in Minkowski Space

Year 2021, Volume: 2 Issue: 2, 70 - 82, 31.07.2021

Müslüm Aykut Akgün

Abstract

In this study, we define new vector fields along a Frenet curve with nonvanishing curvatures in 4-dimensional Minkowski space R^4_1 . By using these vector fields we obtain some new planes and curves. We show that these planes play the role of the Darboux vector. We characterized that, osculating curves of the first kind and rectifying curves in Minkowski space R^4_1 can be given as space curves whose position vectors always lie in a two-dimensional subspace.

Keywords

Frenet curve, Darboux vector, Rectifying curve

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