Low dimensional Lie groups admitting left invariant flat projective or affine structures
Differential Geometry
2014-06-16 v1 Representation Theory
Abstract
We prove that any real Lie group of dimension \leq 5 admits a left invariant flat projective structure. We also prove that a real Lie group L of dimension \leq 5 admits a left invariant flat affine structure if and only if the Lie algebra of L is not perfect.
Cite
@article{arxiv.1406.3424,
title = {Low dimensional Lie groups admitting left invariant flat projective or affine structures},
author = {Hironao Kato},
journal= {arXiv preprint arXiv:1406.3424},
year = {2014}
}
Comments
16 pages