Hypercomplex structures on Kaehler manifolds
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🧮 math.AG
math.CVmath.DG
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hypercomplexkaehleradmitsadmittingcompactconstructformhkt-metric
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Let (M,I) be a compact Kaehler manifold admitting a hypercomplex structure. We show that (M, I) admits a natural HKT-metric. This is used to construct a holomorphic symplectic form on (M,I).
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