The Darboux Rotation Axis & Special Curves According to Rotation Minimizing Frame in Minkowski 3-Space

Abstract

In this paper, we introduce a new Darboux vector and Darboux helix for timelike curves in Minkowski 3-space. We dened Darboux vector in term of type-2 Bishop frame in R3 1. We introduce new spherical images and call them as type-2 Bishop Darboux spherical images for timelike curves. Later, we introduce new Darboux helix and constant precession of the timelike curve. Moreover, we give characterization of the axis of the Darboux helices. Finally we illustrate one example of our main results.