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arXiv · 1511.09258

Infinitesimal affine automorphisms of symplectic connections

Daniel J. F. Fox
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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.

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Daniel J. F. Fox. 2015-11-30. Infinitesimal affine automorphisms of symplectic connections. https://doi.org/10.1016/j.geomphys.2016.03.029

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