2017•Journal of the Egyptian Mathematical SocietyOpen access

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

H. S. Abdel-Aziz, M. Khalifa Saad

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.

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Key concepts: Frenet–Serret formulas, Minkowski space, Mathematics, Transformation (genetics), Computation, Frame (networking), Space (punctuation), Mathematical analysis