Infinitesimal affine automorphisms of symplectic connections
arXiv:1511.09258 · doi:10.1016/j.geomphys.2016.03.029
Abstract
Conditions are given under which an infinitesimal automorphism of a torsion-free connection preserving a symplectic form is necessarily a symplectic vector field. An example is given of a compact symplectic manifold admitting a flat symplectic connection and an infinitesimal automorphism that is not symplectic.
4 pages. v2: details are given for a step in the proof that had not been justified