Title: F−geodesics on the second order tangent bundle over a Riemannian manifold
Abstract: Let (M,1) be a Riemannian manifold and T2M be its second order tangent bundle. In this paper, we deal with certain characterizations of F?geodesics (which generalize both classical geodesics and magnetic curves) on the second order tangent bundle T2M and the hypersurface T21,1M with respect to some natural metrics.