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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data:By using these vector fields we obtain some new planes and curves.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.
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Cite This Article
Akgün, M. A. (2021). New Kind Frenet Curves in Minkowski Space. Fundamentals of Contemporary Mathematical Sciences, Volume: 2 Issue: 2. https://ajindex.com/articles/1486319