Position vectors of a timelike and a null helix in Minkowski 3-space

DOI10.1016/J.CHAOS.2008.04.003zbMath1154.53304OpenAlexW2020359330MaRDI QIDQ1002761

Özgür Boyacıoğlu, Kāzim İlarslan

Publication date: 2 March 2009

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.04.003

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Cites Work

• Einstein's dream and fractal geometry
• Timelike and null normal curves in Minkowski space \(\mathbb{E}_1^3\)
• High accuracy approximation of helices by quintic curves
• A global formulation of the condition for a curve to lie in a sphere
• Real classical strings
• Constraint-free analysis of relativistic strings
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• Helices
• On an Explicit Characterization of Spherical Curves
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