Departamento de Matematica, UFRPE, Rua Manoel de Medeiros, s/n – Dois Irm~aos, Recife – PE, 52171-900.
Abstract: In this study, we analyze the correspondence between the Bishop frame, which is an alternative way of defining a moving frame in Euclidean 3-space, of a curve in E3 and its natural mate, conjugate (or adjoint) mate and Mannheim partner curves. We also obtain a relation between the respective Bishop curvatures for these curves.
Keywords: Bishop frame, Bishop curvatures, Natural mate curves, Conjugate mate curves, Mannheim partner curves.
Pages: 19 – 25 | Full PDF Paper