A New Approach to Smarandache TB Curves of General Helices in the Sol Space (sic)(3)

Abstract

In this paper, we define modern Smarandache TB curves based on the Frenet frame in the Sol(3). We get the characterization of curvatures and the movement for the Frenet frame's vectors of unique Smarandache TB curves. In particular, we define Smarandache TB curves of general helices in conditions of its curvatures. Additionally, we discover out its common vector equations. Finally, we find out their explicit parametric equations.