Computation of Smarandache curves according to Darboux frame in Minkowski 3-space

Abstract

In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space E13. Using the usual transformation between Frenet and Darboux frames, we investigate some special Smarandache curves for a given timelike curve lying fully on a timelike surface. Finally, we defray a computational example to confirm our main results. Keywords: Smarandache curves, Timelike curves, Timelike surfaces, Darboux frame, Minkowski 3-space, MSC: 53A04, 53A35, 53C50