Abstract We contribute to the classification of toroidal circle planes and flat Minkowski planes possessing three-dimensional connected groups of automorphisms. When such a group is an almost simple Lie group, we show that it is isomorphic to PSL(2, ℝ). Using this result, we describe a framework for the full classification based on the action of the group on the point set.

中文翻译：

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圆环平面自同构的三维连通群

摘要 我们对具有三维连通自同构群的圆环平面和平面 Minkowski 平面的分类做出了贡献。当这样的群是一个几乎简单的李群时，我们证明它同构于 PSL(2, ℝ)。使用这个结果，我们描述了一个基于组在点集上的动作的完整分类框架。