Sequential natural mates of Frenet curves in Euclidean 3-space

DOI10.1007/s00022-021-00610-6zbMath1490.53004OpenAlexW3210057476WikidataQ114232048 ScholiaQ114232048MaRDI QIDQ2051398

Ali Uçum, Çetin Camci, Bang-Yen Chen, Kāzim İlarslan

Publication date: 24 November 2021

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

Full work available at URL: https://doi.org/10.1007/s00022-021-00610-6

zbMATH Keywords

general helicesMannheim curveBertrand curveSalkowski curveanti-Salkowski curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Cites Work

• Associated curves of a Frenet curve and their applications
• Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion
• A new approach to Bertrand curves in Euclidean 3-space
• Mannheim partner curves in 3-space
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• On rectifying curves in Euclidean 3-space
• Rectifying curves and geodesics on a cone in the Euclidean 3-space
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