On involutes of order k of a null Cartan curve in Minkowski spaces

DOI10.2298/FIL1908295HzbMath1499.53005OpenAlexW3004727952MaRDI QIDQ5080847

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Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1908295h

zbMATH Keywords

Minkowski spacenull Cartan curveinvolute of order \(k\)null vortex filament equation

Mathematics Subject Classification ID

Global submanifolds (53C40) Curves in Euclidean and related spaces (53A04) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Involutes of fronts in the Euclidean plane
• Geometry of Hasimoto surfaces in Minkowski 3-space
• Iterating evolutes and involutes
• Tanvolutes: Generalized Involutes
• On Bishop frame of a null Cartan curve in Minkowski space-time
• A characterization of involutes and evolutes of a given curve in $\mathbb{E}^{n}$
• Helices, Hasimoto Surfaces and Bäcklund Transformations
• On the curvature and torsion of an isolated vortex filament
• Null Bertrand curves in Minkowski 3-space and their characterizations
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