Rectifying curves under conformal transformation

DOI10.1016/j.geomphys.2021.104117zbMath1464.53009arXiv1907.03550OpenAlexW3119099527MaRDI QIDQ2662752

Pinaki Ranjan Ghosh, Mohamd Saleem Lone, Absos Ali Shaikh

Publication date: 14 April 2021

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

Full work available at URL: https://arxiv.org/abs/1907.03550

zbMATH Keywords

geodesic curvaturenormal curvatureconformal maprectifying curvehomothetic conformal map

Mathematics Subject Classification ID

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

Related Items (2)

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Cites Work

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• Normal curves on a smooth immersed surface
• Rectifying and osculating curves on a smooth surface
• Rectifying curves on a smooth surface immersed in the Euclidean space
• Conformal image of an osculating curve on a smooth immersed surface
• 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

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