Associated curves from a different point of view in $E^3$

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:71 Issue:3
Associated curves from a different point of view in $E^3$

Associated curves from a different point of view in $E^3$

Authors : Süleyman ŞENYURT, Davut CANLI, Kebire Hilal AYVACI

Pages : 826-845

Doi:10.31801/cfsuasmas.1026359

View : 21 | Download : 10

Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :In this paper, tangent, principal normal and binormal wise associated curves are defined such that each of these vectors of any given curve lies on the osculating, normal and rectifying plane of its partner, respectively. For each associated curve, a new moving frame and the corresponding curvatures are formulated in terms of Frenet frame vectors. In addition to this, the possible solutions for distance functions between the curve and its associated mate are discussed. In particular, it is seen that the involute curves belong to the family of tangent associated curves in general and the Bertrand and the Mannheim curves belong to the principal normal associated curves. Finally, as an application, we present some examples and map a given curve together with its partner and its corresponding moving frame.
Keywords : Curve theory, special curves, associated curves, Frenet frame, Euclidean space

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.