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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We characterized that, osculating curves of the first kind and rectifying curves in Minkowski space R^4_1 can be given as space curves whose position vectors always lie in a two-dimensional subspace.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this study, we define new vector fields along a Frenet curve with nonvanishing curvatures in 4-dimensional Minkowski space R^4_1 .
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Temel Bulgular & Veri:By using these vector fields we obtain some new planes and curves.
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Sonuç & Katkı:We characterized that, osculating curves of the first kind and rectifying curves in Minkowski space R^4_1 can be given as space curves whose position vectors always lie in a two-dimensional subspace.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Frenet curve · Darboux vector · Rectifying curve
Abstract
In this study, we define new vector fields along a Frenet curve with nonvanishing curvatures in 4-dimensional Minkowski space R^4_1 . By using these vector fields we obtain some new planes and curves. We show that these planes play the role of the Darboux vector. We characterized that, osculating curves of the first kind and rectifying curves in Minkowski space R^4_1 can be given as space curves whose position vectors always lie in a two-dimensional subspace.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
AKGÜN, M. A. (2021). New Kind Frenet Curves in Minkowski Space. Fundamentals of Contemporary Mathematical Sciences, Cilt: 2 Sayı: 2, 70–82. https://ajindex.com/articles/905763