The Complete Classification of Quarter-Symmetric Magnetic Curves in S-manifolds

In this paper, we consider S-manifolds endowed with a quarter-symmetric metric connection. We obtain the condition for a curve to be magnetic with respect to this connection. We show that quarter-symmetric magnetic curves are \theta _{\alpha }-slant curves of osculating order r\leq ۳ with constant quarter-symmetric curvature functions. Finally, we give the classification theorem.

Keywords:

Magnetic curve , theta _{alpha }-slant curve , S-manifold , Quarter-symmetric metric connection