Homogeneous Hypercomplex Structures and the Joyce's Construction

Abstract

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 $M$.

11 pages

References in corpus (1)

• Geometry of Hyper-Kähler Connections with Torsion