Geometric invariants of normal curves under conformal transformation in $\mathbb{E}^3$
General Mathematics
2019-08-12 v1
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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Cite
@article{arxiv.1908.03527,
title = {Geometric invariants of normal curves under conformal transformation in $\mathbb{E}^3$},
author = {Mohamd Saleem Lone},
journal= {arXiv preprint arXiv:1908.03527},
year = {2019}
}
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