Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space

Bedia Merih Özçetin Vatansever

doi:10.53570/jnt.1833867

Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space

Abstract

In this paper, we introduce principal normal-based, first binormal-based, and second binormal-based curves defined along the Frenet frame of a curve in four-dimensional Euclidean space. For each derived curve, we obtain the corresponding Frenet vectors and curvature functions and express them factoring in the original curve. Furthermore, we provide an illustrative example of each case to demonstrate the geometric characteristics and validate the derived formulations.

Keywords

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Bedia Merih Özçetin Vatansever ^*
0000-0003-1424-5407
Türkiye

Publication Date

March 30, 2026

Submission Date

December 1, 2025

Acceptance Date

February 11, 2026

Published in Issue

Year 2026 Number: 54

DOI

https://doi.org/10.53570/jnt.1833867

IZ

https://izlik.org/JA24JX69FU

Cite

RIS / Bibtex

APA

Özçetin Vatansever, B. M. (2026). Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space. Journal of New Theory, 54, 12-28. https://doi.org/10.53570/jnt.1833867

AMA

1.Özçetin Vatansever BM. Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space. JNT. 2026;(54):12-28. doi:10.53570/jnt.1833867

Chicago

Özçetin Vatansever, Bedia Merih. 2026. “Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space”. Journal of New Theory, nos. 54: 12-28. https://doi.org/10.53570/jnt.1833867.

EndNote

Özçetin Vatansever BM (March 1, 2026) Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space. Journal of New Theory 54 12–28.

IEEE

[1]B. M. Özçetin Vatansever, “Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space”, JNT, no. 54, pp. 12–28, Mar. 2026, doi: 10.53570/jnt.1833867.

ISNAD

Özçetin Vatansever, Bedia Merih. “Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space”. Journal of New Theory. 54 (March 1, 2026): 12-28. https://doi.org/10.53570/jnt.1833867.

JAMA

1.Özçetin Vatansever BM. Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space. JNT. 2026;:12–28.

MLA

Özçetin Vatansever, Bedia Merih. “Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space”. Journal of New Theory, no. 54, Mar. 2026, pp. 12-28, doi:10.53570/jnt.1833867.

Vancouver

1.Bedia Merih Özçetin Vatansever. Investigating Curves Along Frenet Normal Vectors in Euclidean $4$-Space. JNT. 2026 Mar. 1;(54):12-28. doi:10.53570/jnt.1833867