2017

3 Boyutlu Lorentz Uzayında Null Cartan Helisler: Bir Yaklaşım

Bu çalışmada, Lorentzian 3-uzayında ekseni Killing vektör alanı olan null Cartan helisler araştırılmıştır. Bu uzayda sabit Killing ekseninin spacelike, timelike ve null (lightlike) olma durumları göz önünde bulundurularak helis eğrileri türetilmiştir. Daha sonra, bu eğrilerin Bishop eğrilikleri ve parametrik denklemleri elde edilmiştir. Son olarak, çeşitli örnekler verilmiş ve bu örnekler Mathematica programı yardımıyla görselleştirilmiştir.

Null Cartan Helices in Lorentzian 3-Space: An Approximation

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 examples and draw their images using the Mathematica.

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