Homogeneous Hypercomplex Structures and the Joyce's Construction

Details Homogeneous Hypercomplex Structures and the Joyce's Construction Homogeneous Hypercomplex Structures and the Joyce's Construction

2010-04-29

arxiv.org/abs/1004.5238v1

Mathematics

Differential Geometry

11 pages

Scientific paper

We prove that any invariant hypercomplex structure on a homogeneous space $M
= G/L$ where $G$ is a compact Lie group is obtained via the Joyce's
construction, provided that there exists a hyper-Hermitian naturally reductive
invariant metric on $M$.

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