Bach-flat Lie groups in dimension 4
Differential Geometry
2013-10-15 v1
Abstract
We establish the existence of solvable Lie groups of dimension 4 and left-invariant Riemannian metrics with zero Bach tensor which are neither conformally Einstein nor half conformally flat.
Keywords
Cite
@article{arxiv.1303.4527,
title = {Bach-flat Lie groups in dimension 4},
author = {Elsa Abbena and Sergio Garbiero and Simon Salamon},
journal= {arXiv preprint arXiv:1303.4527},
year = {2013}
}
Comments
4 pages