Binormal motions of inextensible curves in de-sitter space S2,1

In the present work, we continue our study of motions of inextensible curves in de-sitter space S2,1, that we started in [1]. The binormal motions of timelike curves and spacelike curves with a timelike normal vector in S2,1 are described and studied. By the motions of these types of curves, new surfaces (we will call them Hasimoto surfaces) are constructed and plotted by using the hollow ball model by Mathematica 7.