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

Authors

DOI:

https://doi.org/10.5556/j.tkjm.53.2022.3611

Keywords:

Conformal motion, isometry, normal curve, osculating curve, rectifying curve

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.

References

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Published

2021-04-15 — Updated on 2022-01-18

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How to Cite

Lone, M. S. (2022). Geometric Invariants of Normal Curves under Conformal Transformation in $\mathbb{E}^3$. Tamkang Journal of Mathematics, 53(1), 75-87. https://doi.org/10.5556/j.tkjm.53.2022.3611 (Original work published April 15, 2021)

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