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

Year 2020, Volume: 12 Issue: 2, 161 - 165, 31.12.2020

Şeyda Kılıçoglu Süleyman Şenyurt

https://doi.org/10.47000/tjmcs.616122

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

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