A Study on Harmonic Curvatures of a Spacelike Focal Curve in L^3

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Uluslararası Bilim Teknoloji ve Tasarım Dergisi
Cilt: 6 Sayı: 2
A Study on Harmonic Curvatures of a Spacelike Focal Curve in L^3

A Study on Harmonic Curvatures of a Spacelike Focal Curve in L^3

Authors : Ezgi Yağci, Esen İyigün

Pages : 210-218

View : 33 | Download : 55

Publication Date : 2025-12-31

Article Type : Research Paper

Abstract :In this paper,we study with Frenet equations which are given in [6] of a spacelike focal curve in Lorentz 3-space L^3 with index 1. By using the T, N and W are the tangent, the principal normal and the binormal Frenet vectors of the curve respectively and Frenet equations, we give some important definitions, theorems and results for spacelike focal curve. Addtionally, we examined a spacelike focal curve in the three-dimensional Lorentz space with index 1 in terms of harmonic curvatures. Finally, with a example obtained a spacelike focal curve and the Lorentzian circular helix, of a spacelike curve in L^3.
Keywords : lorentz uzayı, harmonik eğriler, odak eğrisi

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