Canal surfaces generated by special curves and quaternions

DOI10.1007/s13370-023-01138-5OpenAlexW4388763052MaRDI QIDQ6179368

Abdussamet Çalişkan

Publication date: 16 January 2024

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01138-5

zbMATH Keywords

quaternionrotation matricescanal surfaceMannheim curveBertrand curvehomothetic motiontubular surfaceinvolute-evolute curve

Mathematics Subject Classification ID

Algebraic geometry (14-XX) Differential geometry (53-XX)

Cites Work

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• Computing rational parametrizations of canal surfaces
• Generic properties of helices and Bertrand curves
• Quaternionic approach of canal surfaces constructed by some new ideas
• Mannheim partner curves in 3-space
• Analytic and algebraic properties of canal surfaces
• Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space
• The quaternionic expression of ruled surfaces
• Involute–evolute and pedal–contrapedal curve pairs on S²

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