Differential geometry of line of curvature on parametric hypersurfaces in $\mathbb{E}^4$
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2018
- DOI:
- arXiv:
- arXiv:1807.10065
- Bibcode:
- 2018arXiv180710065C
- Keywords:
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- Mathematics - Differential Geometry;
- 53A07;
- 53A55