Hypercomplex structures on Kähler manifolds

نویسنده

  • Misha Verbitsky
چکیده

Let (M, I) be a compact Kähler manifold admitting a hypercomplex structure (M, I, J,K). We show that (M, I, J,K) admits a natural HKT-metric. This is used to construct a holomorphic symplectic form on (M, I).

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تاریخ انتشار 2004