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arXiv · 1807.10065

Differential geometry of line of curvature on parametric hypersurfaces in $\mathbb{E}^4$

Fatih Çelik·Mustafa Düldül
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Abstract

The purpose of this paper is, first, to give an algorithm that enables to obtain the lines of curvature on parametric hypersurfaces in Euclidean 4-space, and then, to obtain the curvatures of such lines by using the extended Darboux frame along the curve.

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Fatih Çelik, Mustafa Düldül. 2018-07-26. Differential geometry of line of curvature on parametric hypersurfaces in $\mathbb{E}^4$. https://arxiv.org/abs/1807.10065

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