Smarandache Curves of Spatial Quaternionic Bertrand Curve According to Frenet Frame

Abstract

In this study, Frenet vectors of spatial quaternionic Bertrand curve pair were taken as the position vector. The obtained Smarandache curves from position vector were defined. Frenet vectors, the curvature and torsion of this curve were calculated. This later the Frenet apparatus were expressed in terms of Frenet apparatus of the spatial quaternionic Bertrand curve pair. Example related to the subject was found and their drawings were done with Maple program.

Keywords

• spatial quaternion

Kaynakça

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