论文标题
某些平坦仿射歧管的转换组
Transformation groups of certain flat affine manifolds
论文作者
论文摘要
在本文中,我们表征了扁平仿射的仿射转化群,简单地连接了其发育的图是一个差异形态。通过利用有关$ \ mathbb {r}^n $保留开放连接的集合的同态形态的一些简单事实证明了这一点。我们展示了一些表征有用的示例。
In this paper we characterize the group of affine transformations of a flat affine simply connected manifold whose developing map is a diffeomorphism. This is proved by making use of some simple facts about homeomorphisms of $\mathbb{R}^n$ preserving open connected sets. We show some examples where the characterization is useful.