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arXiv · 1908.03527

Geometric invariants of normal curves under conformal transformation in $\mathbb{E}^3$

Mohamd Saleem Lone
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Abstract

In this paper, we investigate the geometric invariant properties of a normal curve on a smooth immersed surface under conformal transformation. We obtain an invariant-sufficient condition for the conformal image of a normal curve. We also find the deviations of normal and tangential components of the normal curve under the same motion. The results in \cite{9} are claimed as special cases of this paper.

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Mohamd Saleem Lone. 2019-07-12. Geometric invariants of normal curves under conformal transformation in $\mathbb{E}^3$. https://arxiv.org/abs/1908.03527

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