Abstract
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame vectors of another regular curve inMinkowski 3-space R. Then, we present some characterisations of Smarandache curves and calculate Frenet invariants of these curves. Moreover, weclassify TN; TB; NB and TNB-Smarandache curves of a regular curve parametrized by arc lengthcharacter ofby presenting a brief table with respect to the causal. Also, we will give some examples related to results
Highlights
In di¤erential geometry, there are many important consequences and properties of curves studied by some authors [1, 2, 3]
We determine TN-Smarandache curves whose position vector is composed by Frenet frame vectors of another regular curve in Minkowski 3-space R31
Smarandache curve is de...ned as a regular curve whose position vector is composed by Frenet frame vectors of another regular curve in Minkowski spacetime in [4]
Summary
In di¤erential geometry, there are many important consequences and properties of curves studied by some authors [1, 2, 3]. Special Smarandache curves such as TN1, TN2, N1N2 and TN1N2-Smarandache curves according to Bishop frame in Euclidean 3-space have been investigated by Çetin and Tunçer [6]. They have studied di¤erential geometric properties of these special curves and they have calculated the ...rst and second curvature (natural curvatures) of these curves. Special Smarandache curves according to Darboux frame in Euclidean 3-space have been introduced in [7]. They have investigated special Smarandache curves such as Tg; Tn; gn and Tgn-Smarandache curves.
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