Conformal image of an osculating curve on a smooth immersed surface

DOI10.1016/j.geomphys.2020.103625zbMath1435.53008arXiv1907.03597OpenAlexW2956121347MaRDI QIDQ2309668

Mohamd Saleem Lone, Pinaki Ranjan Ghosh, Absos Ali Shaikh

Publication date: 1 April 2020

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

Full work available at URL: https://arxiv.org/abs/1907.03597

zbMATH Keywords

geodesic curvaturenormal curvatureconformal maposculating curvehomothetic map

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Differential geometry of submanifolds of Möbius space (53A31)

Related Items (4)

Rectifying curves under conformal transformation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Rectifying curves on a smooth surface immersed in the Euclidean space
• Variation of Gaussian curvature under conformal mapping and its application
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• On rectifying curves in Euclidean 3-space
• Unnamed Item
• Unnamed Item

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