Special Smarandache curves in R31

(BAYRAK) GÜRSES, Nurten; BEKTAS, Ozcan; YUCE, Salim Salim
2016 Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics  
C o m m u n . Fa c . S c i. U n iv . A n k . S é r. A 1 M a th . S ta t. Vo lu m e 6 5 , N u m b e r 2 , P a g e s 1 4 3 -1 6 0 (2 0 1 6 ) D O I: 1 0 .1 5 0 1 / C o m m u a 1 _ 0 0 0 0 0 0 0 7 6 6 IS S N 1 3 0 3 -5 9 9 1 SPECIAL SMARANDACHE CURVES IN R 3 1 NURTEN (BAYRAK) GÜRSES, ÖZCAN BEKTAŞ, AND SALIM YÜCE Abstract. In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame vectors of another regular curve in Minkowski 3-space R 3 1 . Then, we present
more » ... ome characterisations of Smarandache curves and calculate Frenet invariants of these curves. Moreover, we classify TN; TB; NB and TNB-Smarandache curves of a regular curve parametrized by arc length by presenting a brief table with respect to the causal character of . Also, we will give some examples related to results.
doi:10.1501/commua1_0000000766 fatcat:oev6n4b33zgrrprttltkypcep4