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