On the pole indicatrix curve of the spacelike Salkowski curve with timelike principal normal in Lorentzian 3-space

Year 2022, Volume: 12 Issue: 4, 1168 - 1179, 15.10.2022

Birkan Aksan , Sümeyye Gür Mazlum

https://doi.org/10.17714/gumusfenbil.1176243

Cited By: 1

Abstract

In this study, we compute the Frenet frame, the curvatures, the Frenet derivative formulas, the Darboux vector, the arc length, the geodesic curvatures according to and (Lorentzian sphere) of the pole indicatrix curve of the spacelike Salkowski curve with the timelike principal normal in Lorentzian 3-space and show the graph of the indicatrix curve on the Lorentzian sphere.

Keywords

Geodesic curvatures, Pole indicatrix curve, Salkowski curve

On the pole indicatrix curve of the spacelike Salkowski curve with timelike principal normal in Lorentzian 3-space

Abstract

Bu çalışmada 3-boyutlu Lorentz uzayında timelike asli normalli spacelike Salkowski eğrisinin pol gösterge eğrisinin Frenet çatısı, eğrilikleri, Frenet türev formülleri, Darboux vektörü, yay uzunluğu, e ve (Lorentzian küre) ye göre geodezik eğrilikleri hesaplanmıştır ve bu pol gösterge eğrisi Lorentzian küre üzerinde gösterilmiştir.

Keywords

Geodezik eğrilikler, Pol gösterge eğrisi, Salkowski eğrisi

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