Null Cartan Helices in Lorentzian 3-Space: An Approximation

Year 2019, Volume: 6 Issue: 2, 369 - 383, 26.12.2019

Zehra Özdemir

https://doi.org/10.35193/bseufbd.598439

Abstract

In this work, we investigate the null Cartan helices in
Lorentzian 3-space. We derive the helices with the constant timelike, spacelike
and lightlike Killing axis in Lorentzian 3-space. Then, we calculate the Bishop
curvatures of the null Cartan helix and obtain the explicit parametric
equations of these curves by using the Bishop curvatures. Finally, we present
various related examples and draw their images using the Mathematica.

Keywords

Minkowski space, Lightlike curves and surfaces, Cartan curvatures, Frame fields.

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