POSITION VECTOR OF SPACELIKE SLANT HELICES IN MINKOWSKI 3-SPACE

Abstract

In this paper, position vector of a spacelike slant he- lix with respect to standard frame are deduced in Minkowski space E 3. Some new characterizations of a spacelike slant helices are presented. Also, a vector differential equation of third order is constructed to determine position vector of an arbitrary spacelike curve. In terms of solution, we determine the parametric repre- sentation of the spacelike slant helices from the intrinsic equations. Thereafter, we apply this method to find the parametric represen- tation of some special spacelike slant helices such as: Salkowski and anti-Salkowski curves.