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A Note on the Infinitesimal Bending of a Rectifying Curve

open access: yesSymmetry
Both notions, of an infinitesimal bending of a curve and of a rectifying curve, play important roles in the theory of curves.
Andréea Olteanu, Adela Mihai
exaly   +2 more sources

On the classification of framed rectifying curves in Euclidean space [PDF]

open access: yesMathematical Methods in the Applied Sciences, 2022
There are many studies on regular rectifying curves in classical differential geometry, and important results have been obtained. However, these studies are limited for a smooth curve with singular points. To examine such curves and surfaces, the concept
Bahar Dogan Yazici   +2 more
exaly   +2 more sources
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Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021
Eliot Fried, Yi-Chao Chen, Brian Seguin
exaly  

Rectifying curves under conformal transformation

Journal of Geometry and Physics, 2021
Mohamd Saleem Lone   +2 more
exaly  

Rectifying and Osculating Curves on a Smooth Surface

Indian Journal of Pure and Applied Mathematics, 2020
Absos Ali Shaikh, Pinaki Ranjan Ghosh
exaly  

Rectifying curves in the three-dimensional sphere

Journal of Mathematical Analysis and Applications, 2015
Pascual Lucas   +1 more
exaly  

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