Hypersymplectic four-dimensional Lie algebras
Differential Geometry
2007-05-23 v1
Abstract
A study is made of real Lie algebras admitting a hypersymplectic structure, and we provide a method to construct such hypersymplectic Lie algebras. We use this method in order to obtain the classification of all hypersymplectic structures on four-dimensional Lie algebras, and we describe the associated metrics on the corresponding Lie groups.
Cite
@article{arxiv.math/0310462,
title = {Hypersymplectic four-dimensional Lie algebras},
author = {Adrian Andrada},
journal= {arXiv preprint arXiv:math/0310462},
year = {2007}
}