Year: 2010
Type: preprint
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 $M$.
Source: arXiv (Cornell University)
Authors: Bedulli, Lucio, Gori, Anna, Podestà, Fabio
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2091881659