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Symplectic connections
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This article is an overview of the results obtained in recent years on symplectic connections. We present what is known about preferred connections (critical points of a variational principle). The class of Ricci-type connections (for which the curvature is entirely determined by the Ricci tensor) is described in detail, as well as its far reaching generalization to special connections. A twistorial construction shows a relation between Ricci-type connections and complex geometry. We give a construction of Ricci-flat symplectic connections. We end up by presenting, through an explicit example, an approach to noncommutative symplectic symmetric spaces.
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Cited by 1 Pith paper
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Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds
Introduces B^k_{\alpha,\beta}-manifolds and proves conditional existence and adjunction theorems, but the central proof contains unproven steps.
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