On the Geodesics of Tubular Surfaces in Minkowski 3-Space

In this study, we research geodesics of tubular surfaces which is founded by using two-parameter spatial motion along a curve in Minkowski 3-space. To do this, we solve differential equation DTT=0 of parametric curves on the tubular surface where D is the connection of tubular surface and T is the unit vector field of two parametric curves on the tubular surface in particular. It is shown that for fixed s, all of parametric curves of the tubular surface M=φ (s,t) are geodesics and for fixed t only the curves φ{t=0}(s) are geodesics