An investigation of new associated curves of a Frenet curve in Euclidean n-space

Authors

BEDİA MERİH ÖZÇETİNFollow

Author ORCID Identifier

BEDİA MERİH ÖZÇETİN: 0000-0003-1424-5407

Abstract

In this study, we introduce the V2-direction curve, Vn−1-direction curve and Vn-direction curve of a Frenet curve in n-dimensional Euclidean space. We provide characterizations and investigate the relationships between the Frenet apparatus of the principal curve and the corresponding apparatus of the direction curves. We also present an application for all direction curves with the results shown using computer code implemented in MATLAB.

DOI

10.55730/1300-0098.3627

Keywords

Frenet curve, integral curve, associated curve, general helix, slant helix

First Page

822

Last Page

837

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ÖZÇETİN, B (2025). An investigation of new associated curves of a Frenet curve in Euclidean n-space. Turkish Journal of Mathematics 49 (6): 822-837. https://doi.org/10.55730/1300-0098.3627