A sequence of connections and a characterization of K\"ahler manifolds
classification
🧮 math.DG
keywords
sequenceahlerconnectionsmanifoldstructurealmostassociatedcanonical
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We study a sequence of connections which is associated with a Riemannian metric and an almost symplectic structure on a manifold. We prove that if this sequence is trivial (i.e. constant) or 2-periodic, then the manifold has a canonical K\"ahler structure.
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