Differential geometry of line of curvature on parametric hypersurfaces in $\mathbb{E}^4$
Differential Geometry
2018-07-27 v1
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.
Keywords
Cite
@article{arxiv.1807.10065,
title = {Differential geometry of line of curvature on parametric hypersurfaces in $\mathbb{E}^4$},
author = {Fatih Çelik and Mustafa Düldül},
journal= {arXiv preprint arXiv:1807.10065},
year = {2018}
}