The complete classification of quarter-symmetric magnetic curves in s-manifolds

Abstract

In this paper, we consider S-manifolds endowed with a quartersymmetric metric connection. We obtain the condition for a curve to be magnetic with respect to this connection. We show that quartersymmetric magnetic curves are θα−slant curves of osculating order r ≤ 3 with constant quarter-symmetric curvature functions. Finally, we give the classification theorem