Some special Smarandache curves according to the extended Darboux frame in $mathbb{E}^4_1$

Bahar Uyar Düldül 1 *

doi:10.26637/MJM0701/0014

Some special Smarandache curves according to the extended Darboux frame in $mathbb{E}^4_1$

Authors :

Bahar Uyar Düldül ^{1 *}

Author Address :

¹ Yildiz Technical University, Education Faculty, Department of Mathematics and Science Education, Istanbul, Turkey.

*Corresponding author.

Abstract :

In this study, we define some special Smarandache curves according to the extended Darboux frame in Minkowski 4-space $mathbb{E}^4_1$. We obtain the Frenet vectors and the curvatures of $mathsf{TD}$-Smarandache curve depending on the invariants of the extended Darboux frame of second kind.

Keywords :

Smarandache curve, extended Darboux frame field, Minkowski space.

DOI :

10.26637/MJM0701/0014

Article Info :

Received : June 18, 2018; Accepted : November 15, 2018.