Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden metrics
Differential Geometry
2019-03-22 v1
Abstract
There are studied Lie groups considered as almost hypercomplex Hermitian-Norden manifolds, which are integrable and have the lowest dimension four. It is established a correspondence of the derived Lie algebras of types of invariant hypercomplex structures and the explicit matrix representation of their Lie groups. There are constructed examples of the considered structure of different types on some known Lie groups.
Keywords
Cite
@article{arxiv.1903.08971,
title = {Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden metrics},
author = {Hristo Manev},
journal= {arXiv preprint arXiv:1903.08971},
year = {2019}
}