Comprehensive study of intersection curves in R4 based on the system of ODEs

• Autores: Seok Hur, Tae Wan Kim, Cesare Bracco
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 256, Nº 1, 2014, págs. 121-130
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.07.018
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• Resumen

  • We propose a new approach for the study of intersection curves cI in R4 to obtain a general method for determining the Frenet frame {t, n, b1, b2} and curvatures ê1, ê2, ê3 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.