Geometric Invariants of Normal Curves under Conformal Transformation in $\mathbb{E}^3$
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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.
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