We propose a new approach for the study of intersection curves c I in R4 to obtain a general method for determining the Frenet frame {t,n,b1,b2} and curvatures κ1,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 [4-6] that were based mainly on differential geometry. Moreover, our method is suitable for any form of hypersurface that defines the intersection curves in R4

Comprehensive study of intersection curves in R 4 based on the system of ODEs / Hur, Seok; Kim, Tae-Wan; Bracco, Cesare. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 256:(2014), pp. 121-130. [10.1016/j.cam.2013.07.018]

Comprehensive study of intersection curves in R 4 based on the system of ODEs

Bracco, Cesare
2014

Abstract

We propose a new approach for the study of intersection curves c I in R4 to obtain a general method for determining the Frenet frame {t,n,b1,b2} and curvatures κ1,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 [4-6] that were based mainly on differential geometry. Moreover, our method is suitable for any form of hypersurface that defines the intersection curves in R4
2014
256
121
130
Hur, Seok; Kim, Tae-Wan; Bracco, Cesare
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1104131
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