Energy Minimizing Beltrami Fields on Sasakian 3-Manifolds
Energy Minimizing Beltrami Fields on Sasakian 3-Manifolds
We study on which compact Sasakian 3-manifolds the Reeb field, which is a Beltrami field with eigenvalue 2, is an energy minimizer in its adjoint orbit under the action of volume preserving diffeomorphisms. This minimization property for Beltrami fields is relevant because of its connections with the phenomenon of magnetic …