Hypercomplex structures on Kaehler manifolds

Abstract

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

References in corpus (1)

• Twistor spaces for HKT manifolds

Cited by in corpus (1)

• Existence of HKT metrics on hypercomplex manifolds of real dimension 8