Hypercomplex structures with Hermitian-Norden metrics on four-dimensional Lie algebras
Differential Geometry
2014-04-15 v1
Abstract
Integrable hypercomplex structures with Hermitian and Norden metrics on Lie groups of dimension 4 are considered. The corresponding five types of invariant hypercomplex structures with hyper-Hermitian metric, studied by M.L. Barberis, are constructed here. The different cases regarding the signature of the basic pseudo-Riemannian metric are considered.
Cite
@article{arxiv.1309.0975,
title = {Hypercomplex structures with Hermitian-Norden metrics on four-dimensional Lie algebras},
author = {Mancho Manev},
journal= {arXiv preprint arXiv:1309.0975},
year = {2014}
}
Comments
12 pages