Natural Paracontact Magnetic Trajectories on Unit Tangent Bundles

Abstract

In this paper, we study natural paracontact magnetic trajectories in the unit tangent bundle, i.e., those that are associated to g-natural paracontact metric structures. We characterize slant natural paracontact magnetic trajectories as those satisfying a certain conservation law. Restricting to two-dimensional base manifolds of constant Gaussian curvature and to Kaluza–Klein type metrics on their unit tangent bundles, we give a full classification of natural paracontact slant magnetic trajectories (and geodesics).

Keywords

• magnetic curve
• unit tangent bundle
• <i>g</i>-natural metric
• paracontact metric structure