Hypercomplex structures on Kaehler manifolds

Details Hypercomplex structures on Kaehler manifolds Hypercomplex structures on Kaehler manifolds

2004-06-20

arxiv.org/abs/math/0406390v2

GAFA 15 (2005), no. 6, pp. 1275-1283

Mathematics

Algebraic Geometry

10 pages, minor errors corrected

Scientific paper

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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