Rectifying and osculating curves on a smooth surface

DOI10.1007/S13226-020-0385-9zbMath1436.53005OpenAlexW3012220935MaRDI QIDQ1985916

Pinaki Ranjan Ghosh, Absos Ali Shaikh

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1007/s13226-020-0385-9

zbMATH Keywords

second fundamental formgeodesic curvaturenormal curvaturerectifying curveosculating curvefirst 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 (10)

Normal curves on a smooth immersed surface ⋮ On the position vector of surface curves in the Euclidean space ⋮ Rectifying curves under conformal transformation ⋮ Some characterizations of rectifying and osculating curves on a smooth immersed surface ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Curves on a smooth surface with position vectors Lie in the tangent plane ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Rectifying curves on a smooth surface immersed in the Euclidean space
• 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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