Half-flat structures on products of three-dimensional Lie groups
Differential Geometry
2010-07-29 v1
Abstract
We classify six-dimensional Lie groups which admit a left-invariant half-flat SU(3)-structure and which split in a direct product of three-dimensional factors. Moreover, a complete list of those direct products is obtained which admit a left-invariant half-flat SU(3)-structure such that the three-dimensional factors are orthogonal. Similar classification results are proved for left-invariant half-flat SL(3,R)-structures on direct products with either definite and orthogonal or isotropic factors.
Keywords
Cite
@article{arxiv.0912.3486,
title = {Half-flat structures on products of three-dimensional Lie groups},
author = {Fabian Schulte-Hengesbach},
journal= {arXiv preprint arXiv:0912.3486},
year = {2010}
}
Comments
19 pages