Null Curves and Representation in Three Dimensional Minkowski Spacetime

Abstract

In this paper we give a kind of representation formula for a null curve with null arclength parameter in three dimensional Minkowski spacetimeE31and define structure function ofsuch null curve. Using this representation formula and relations between the null curvature functionand structure function of null curve, especially by solving certain differential equations, we obtainsome characterizations and classifications of some special null curves.