Null Cartan Helices in Lorentzian 3-Space: An Approximation

Authors : Zehra ÖZDEMİR

Pages : 369-383

Doi:10.35193/bseufbd.598439

View : 13 | Download : 12

Publication Date : 2019-12-26

Article Type : Research Paper

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