Homogeneous Hypercomplex Structures and the Joyce's Construction
Differential Geometry
2015-03-17 v1
Abstract
We prove that any invariant hypercomplex structure on a homogeneous space where is a compact Lie group is obtained via the Joyce's construction, provided that there exists a hyper-Hermitian naturally reductive invariant metric on .
Keywords
Cite
@article{arxiv.1004.5238,
title = {Homogeneous Hypercomplex Structures and the Joyce's Construction},
author = {Lucio Bedulli and Anna Gori and Fabio Podestà},
journal= {arXiv preprint arXiv:1004.5238},
year = {2015}
}
Comments
11 pages