New Type Direction Curves in 3-Dimensional Compact Lie Group
New Type Direction Curves in 3-Dimensional Compact Lie Group
In this paper, new types of associated curves, which are defined as rectifying-direction, osculating-direction, and normal-direction, in a three-dimensional Lie group G are achieved by using the general definition of the associated curve, and some characterizations for these curves are obtained. Additionally, connections between the new types of associated curves …