Curves on a smooth surface with position vectors Lie in the tangent plane

DOI10.1007/s13226-020-0452-2zbMath1456.53011arXiv1905.11205OpenAlexW3092228924MaRDI QIDQ2221085

Pinaki Ranjan Ghosh, Absos Ali Shaikh

Publication date: 26 January 2021

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.11205

zbMATH Keywords

second fundamental formgeodesic curvaturefirst fundamental formisometry of surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15)

Related Items (7)

Normal curves on a smooth immersed surface ⋮ Some characterizations of rectifying and osculating curves on a smooth immersed surface ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Characterizing the developable surfaces with curves whose position vectors Lie in the planes spanned by Darboux frame ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Rectifying and osculating curves on a smooth surface
• Rectifying curves on a smooth surface immersed in the Euclidean space
• Some characterizations of null, pseudo null and partially null rectifying curves in Minkowski space-time
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• On rectifying curves in Euclidean 3-space

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