Null eikonal helices and Null eikonal slant helices in the 4-dimensional Lorentzian manifold

2014/01/20 by Evren Zıplar, Zıplar, Evren
Mathematics · Physics and Astronomy · #53B30 #53C50 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #math.DG #msc:53B30 #msc:53C50

paper · pdf · doi:10.48550/arxiv.1401.4826

arxiv created 2014/01/20 · openalex publication_date 2014/01/20 · arxiv updated 2014/01/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we define the notion of eikonal helix and eikonal slant helix for null curves in the 4-dimensional Lorentzian manifold M 1 4 and give a characterization for the null curve to be the null eikonal helix. Moreover, we indicate an important relation between the null eikonal helix and null eikonal slant helix and find the axis of the null eikonal helix. We obtain some relationships between the curvatures of these curves.

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