Characterization of Osculating and Rectifying Curves in Semi-Euclidean Space of Index 2

Osculating and rectifying curves in Euclidean space and Minkowski space were investigated in several articles. In this paper the con- cept of osculating and rectifying null and partially null curves are generalized in four dimensional semi-Euclidean space of index two and the coe cients of their position vector in each case by using of Frenet equations, are given. Par- tially null curves with constant second and third curvature are classi ed and it is shown that partially null curves with zero second curvature are planer. In addition, a characterization for rectifying null curves is given and it is shown that any null rectifying curve with constant second and third curvature is spherical.