Infinitesimal affine automorphisms of symplectic connections
Differential Geometry
2016-04-28 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1511.09258,
title = {Infinitesimal affine automorphisms of symplectic connections},
author = {Daniel J. F. Fox},
journal= {arXiv preprint arXiv:1511.09258},
year = {2016}
}
Comments
4 pages. v2: details are given for a step in the proof that had not been justified