New Horizons in Mathematical Physics

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DOI: 10.22606/nhmp.2017.11001

• Huili Liu^*
  Department of Mathematics, Northeastern University, China
• Seoung Dal Jung
  Department of Mathematics and Research Institute for Basic Sciences, Jeju National University, Korea

In this paper we give a kind of representation formula for a null curve with null arc length parameter in three dimensional Minkowski spacetime E3 1 and define structure function of such null curve. Using this representation formula and relations between the null curvature function and structure function of null curve, especially by solving certain differential equations, we obtain some characterizations and classifications of some special null curves.

Minkowski spacetime; null curve; structure function; curvature function; torsion function; special curve.

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