M. IZID, A. OUAZZANI CHAHDI, M. GUESSOUS and M. RIHANI
Department of Mathematics, Ben M’Sik Faculty of Science, Hassan II Mohammadia-Casablanca University
Abstract
In this paper, we determine the relation between the Frenet-Serret invariants of γ and the Frenet-Serret curvatures of the spherical indicatrix of tangent vector, principal normal vector, and Bishop Darboux vector to give a new characterization of a general helix and a slant helix. Additionally, the new study
of Bishop Darboux spherical indicatrix is given. Finally, we have presented some examples that are computed in detail.