Hypercomplex structures on Kaehler manifolds

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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).
10 pages, minor errors corrected

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Algebraic Geometry, Complex Variables, Differential Geometry, 53C26; 53C55; 53C80

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http://salesiana.dossiersoluciones.com/handle/123456789/97177

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406390
 http://arxiv.org/abs/math/0406390
 GAFA 15 (2005), no. 6, pp. 1275-1283

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arXiv