Mannheim curves and their partner curves in Minkowski 3-space \(E_1^3\)

DOI10.1515/DEMA-2022-0163zbMath1506.53011OpenAlexW4312280555MaRDI QIDQ2100885

Ahmed M. Elshenhab, Ayman Elsharkawy

Publication date: 25 November 2022

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2022-0163

zbMATH Keywords

torsioncurvatureMinkowski 3-spacespace-like curvetime-like curveMannheim partner curvesMannheim curvesmodified orthogonal frame

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Non-Euclidean differential geometry (53A35)

Cites Work

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• The fundamental theorem of analytic space curves and apparent singularities of Fuchsian differential equations
• Mannheim partner curves in 3-space
• Some characterizations of Mannheim partner curves in the Minkowski 3-spaceE₁³
• Foundations of Hyperbolic Manifolds
• Mannheim curves with modified orthogonal frame in Euclidean 3-space

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