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arxiv: 1808.03270 · v1 · pith:VNAHTBL4new · submitted 2018-08-09 · 🧮 math.GM

Rectifying curves on a smooth surface immersed in the euclidean space

classification 🧮 math.GM
keywords surfacerectifyingsmoothcurveinvariantisometryunderalong
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The main objective of the present paper is to investigate a sufficient condition for which a rectifying curve on a smooth surface remains invariant under isometry of surfaces, and also it is shown that under such an isometry the component of the position vector of a rectifying curve on a smooth surface along the normal to the surface is invariant.

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