Pseudo-Riemannian almost hypercomplex homogeneous spaces with irreducible isotropy
Differential Geometry
2017-03-21 v2
Abstract
We classify homogeneous pseudo-Riemannian manifolds of index 4 which admit an invariant almost hyper-Hermitian structure and an H-irreducible isotropy group. The main result is that all these spaces are flat except in dimension 12.
Cite
@article{arxiv.1606.06486,
title = {Pseudo-Riemannian almost hypercomplex homogeneous spaces with irreducible isotropy},
author = {Vicente Cortés and Benedict Meinke},
journal= {arXiv preprint arXiv:1606.06486},
year = {2017}
}
Comments
Final version. 12 pages, 1 table, no figures