Slant helices in three dimensional lie groups

Abstract

In this paper, we define slant helices in three dimensional Lie Groups with a bi-invariant metric and obtain a characterization of slant helices. Moreover, we give some relations between slant helices and their involutes, spherical images.

15 pages

References in corpus (1)

• On slant helices in Minkowski space $E_1^3$

Cited by in corpus (4)

• Spinor Frenet Equations in Three Dimensional Lie Groups
• A New Approach on Curves of Constant Precession
• Bertrand Curves in three Dimensional Lie Groups
• Spherical Indicatrices of a Bertrand Curve in Three Lie Groups