Differential geometry of line of curvature on parametric hypersurfaces in 𝔼⁴

2018/07/26 by Çelik, Fatih, Düldül, Mustafa
#53A07 #53A55 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.10065

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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