# Uniqueness of optimal symplectic connections

@article{Dervan2021UniquenessOO, title={Uniqueness of optimal symplectic connections}, author={R. Dervan and Lars Martin Sektnan}, journal={Forum of Mathematics, Sigma}, year={2021}, volume={9} }

Abstract Consider a holomorphic submersion between compact Kähler manifolds, such that each fibre admits a constantscalar curvature Kähler metric. When the fibres admit continuous automorphisms, a choice of fibrewise constant scalarcurvature Kähler metric is not unique. An optimal symplectic connection is a choice of fibrewise constant scalar curvature Kähler metric satisfying a geometric partial differential equation. The condition generalises the Hermite-Einstein condition for a holomorphic… Expand

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