Hypercomplex structures on Kaehler manifolds
Algebraic Geometry
2007-05-23 v2 Complex Variables
Differential Geometry
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).
Cite
@article{arxiv.math/0406390,
title = {Hypercomplex structures on Kaehler manifolds},
author = {Misha Verbitsky},
journal= {arXiv preprint arXiv:math/0406390},
year = {2007}
}
Comments
10 pages, minor errors corrected