SOME CHARACTERIZATIONS OF TIMELIKE HELICES WITH THE $F$-CONSTANT VECTOR FIELD IN MINKOWSKI SPACE $E_{1}^{3}$}

Abstract

In this paper we give characterizations of timelike normal, rectifying and osculating helices in Minkowski space $E_{1}^{3}.$ Moreover, we examine the characterization of timelike helices whose axis $U$\ perpendicular to the $F$-constant vector field $X$, which is a generalization of these helices$.$