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