Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606221 | Differential Geometry and its Applications | 2012 | 11 Pages |
Abstract
We prove that any real Lie group of dimension ⩽5 admits a left invariant flat projective structure. We also prove that a real Lie group L of dimension ⩽5 admits a left invariant flat affine structure if and only if the Lie algebra of L is not perfect.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hironao Kato,