A characterization of involutes of a given curve in $\mathbb{E}^{3}$ via directional $q$-frame

Munevver  YILDIRIM YILMAZ; Esra  ERDEM

doi:10.26637/mjm904/008

Abstract

The orthogonal trajectories of the first tangents of the curve are called the involutes of $\alpha$. In the present study, we obtain a characterization of involute curves of order $k$ of the given curve $\alpha$ using directional $q$-frame. In virtue of the formulas, some results are obtained.

Keywords:

Frenet curve, Frenet frame, involute curve, directional $q$-frame

Mathematics Subject Classification:

53A04, 53C26

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Munevver YILDIRIM YILMAZ Faculty of Science, Department of Mathematics, Firat University, Elazığ, Turkey.
Esra ERDEM Faculty of Science, Department of Mathematics, Firat University, Elazığ, Turkey.

Pages: 239-250
Date Published: 01-10-2021
Vol. 9 No. 04 (2021): Malaya Journal of Matematik (MJM)

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