Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 5, Issue 2


Published
on

September 10, 2020


Pages

49-62


DOI

Article

Smarandache Curves of Spatial Quaternionic Bertrand Curve According to Frenet Frame

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Authors

Suleyman Senyurt Affiliation:
Department of Mathematics, Faculty of Arts and Sciences, Ordu University, 52200, Ordu/Turkey
, Ceyda Cevahir Yıldız Affiliation:
Department of Mathematics, Institute of Science Ordu University, 52200, Ordu/Turkey
and Yasin Altun Affiliation:
Department of Mathematics, Institute of Science Ordu University, 52200, Ordu/Turkey


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

Smarandache curves, quaternionic Bertrand curve, spatial quaternion.


Citation

Senyurt, S., Yıldız, C. C., & Altun, Y. (2020). Smarandache curves of spatial quaternionic bertrand curve according to frenet frame. Turkish Journal of Science, 5(2), 49–62. https://doi.org/10.66833/TJOS-2020-0008

Published by: Engineering Journals

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