Many interesting properties of a space curve C in E³ may be investigated by means of the concept of spherical indicatrix of tangent, principal normal, or binormal to C. The purpose of the present paper is to derive the representations of the Frenet f...
Many interesting properties of a space curve C in E³ may be investigated by means of the concept of spherical indicatrix of tangent, principal normal, or binormal to C. The purpose of the present paper is to derive the representations of the Frenet frame field, curvature, and torsion of spherical indicatrix to C in terms of the quantities associated with C. Furthermore, several interesting properties of spherical indicatrix are found in the present paper.