On The Curves $N-T^{\ast }N^{\ast }$ in $E^3$

Authors : Şeyda KILIÇOGLU, Süleyman ŞENYURT

Pages : 161-165

Doi:10.47000/tjmcs.616122

View : 17 | Download : 9

Publication Date : 2020-12-31

Article Type : Research Paper

Abstract :In this paper we have defined and examined the new kind curves, with the principal normal vector of the first curve and the vector lying on the osculator plane of the second curve are linearly dependent. As a result we have called these new curves as $N-T^{\ast }N^{\ast }$ curves. Also similiar to the other offset curves under the spesific condition, we give Frenet apparatus of the second curve based on the Frenet apparatus of the first curve.
Keywords : Associated curves, Mannheim curves, Bertrand pairs