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arxiv: 1907.03550 · v1 · pith:HXRKLC7Xnew · submitted 2019-06-21 · 🧮 math.GM

Rectifying curves under conformal transformation

classification 🧮 math.GM
keywords curverectifyingconformalinvarianttransformationundercomponentcondition
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The main aim of this paper is to investigate the nature of invariancy of rectifying curve under conformal transformation and obtain a sufficient condition for which such a curve remains conformally invariant. It is shown that the normal component and the geodesic curvature of the rectifying curve is homothetic invariant.

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