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arXiv · 1406.3424

Low dimensional Lie groups admitting left invariant flat projective or affine structures

Hironao Kato
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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.

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Hironao Kato. 2014-06-13. Low dimensional Lie groups admitting left invariant flat projective or affine structures. https://arxiv.org/abs/1406.3424

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