Uniqueness of optimal symplectic connections

  title={Uniqueness of optimal symplectic connections},
  author={R. Dervan and Lars Martin Sektnan},
  journal={Forum of Mathematics, Sigma},
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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