jnt

Journal of New Theory

2149-1402

Naim ÇAĞMAN

10.53570/jnt.1833867

Algebraic and Differential Geometry

Cebirsel ve Diferansiyel Geometri

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

https://orcid.org/0000-0003-1424-5407

Özçetin Vatansever

Bedia Merih

İSTANBUL GELİŞİM ÜNİVERSİTESİ

03 30 2026

54 12 28 12 01 2025 02 11 2026

2014

Journal of New Theory

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.

Frenet vectors curves curvature

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