A new approach for inextensible flows of binormal spherical indicatrices of magnetic curves

Abstract

In this study, we obtain the special type of magnetic trajectories associated with a magnetic field b defined on a 3D Riemannian manifold. We investigate a new representation of binormal spherical indicatrices of magnetic curves. Thus, we study Bb-magnetic curves terms of inextensible flows. Furthermore, we give some new characterizations of curvatures in terms of some partial differential equations. Finally, we examine some geometrical and physical features of the moving charged particle corresponding to the Bb-magnetic curves. Namely, we compute uniformity of the Bb-magnetic curves. © 2019 World Scientific Publishing Company.