Article ID Journal Published Year Pages File Type
4639084 Journal of Computational and Applied Mathematics 2014 10 Pages PDF
Abstract

We propose a new approach for the study of intersection curves cI in R4R4 to obtain a general method for determining the Frenet frame {t,n,b1,b2} and curvatures κ1,κ2,κ3κ1,κ2,κ3 of cI. Our method is based on the theory of differential equations, which distinguishes it from the classical methods used in previous works [4], [5] and [6] that were based mainly on differential geometry. Moreover, our method is suitable for any form of hypersurface that defines the intersection curves in R4R4.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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