• Some Special Curves According to Bishop Frame in Euclidean Space E3

    Thiago Mendonca

    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