Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space

DOI10.1007/s00022-023-00673-7zbMath1518.53004arXiv2204.06162OpenAlexW4365812790MaRDI QIDQ6168187

Masatomo Takahashi, Shun'ichi Honda, Haiou Yu

Publication date: 10 July 2023

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.06162

zbMATH Keywords

singular curvesMannheim curveBertrand curveframed curves

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Curves in Euclidean and related spaces (53A04) Critical points of functions and mappings on manifolds (58K05)

Cites Work

• On generalized Mannheim curves in Euclidean 4-space
• Framed curves in the Euclidean space
• Generic properties of helices and Bertrand curves
• Mannheim partner curves in 3-space
• There is More than One Way to Frame a Curve
• Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space
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