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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also obtain equations involving the curvature and torsion that characterize this family of curves.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we study a weaker version of classic slant helices in Euclidean space $\mathbb{R}^3$ or Minkowski space $\mathbb{R}^3_1$, which will be called general slant helices.
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Key Findings & Data:We show that any classic slant helix is a general slant helix but the converse is not true.
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Conclusion & Impact:We also obtain equations involving the curvature and torsion that characterize this family of curves.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Slant helix · Killing vector field · pseudo-null curve
Abstract
In this paper, we study a weaker version of classic slant helices in Euclidean space $\mathbb{R}^3$ or Minkowski space $\mathbb{R}^3_1$, which will be called general slant helices. We show that any classic slant helix is a general slant helix but the converse is not true. We also obtain equations involving the curvature and torsion that characterize this family of curves.
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Cite This Article
LUCAS, P., ORTEGA-YAGUES, J. A. (2019). Slant helices: a new approximation. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 473–485. https://ajindex.com/articles/218064