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arXiv · 1808.03270

Rectifying curves on a smooth surface immersed in the euclidean space

Absos Ali Shaikh·Pinaki Ranjan Ghosh
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Abstract

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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Absos Ali Shaikh, Pinaki Ranjan Ghosh. 2018-08-09. Rectifying curves on a smooth surface immersed in the euclidean space. https://arxiv.org/abs/1808.03270

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